2667168 has 144 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 762048.

The previous prime is 2667167. The next prime is 2667187. The reversal of 2667168 is 8617662.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2667168² = 14227570280448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (24192) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2667167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381021 + ... + 381027.

It is an arithmetic number, because the mean of its divisors is an integer number (63700).

2^2667168 is an apocalyptic number.

2667168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2667168 is an abundant number, since it is smaller than the sum of its proper divisors (6505632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2667168 is an frugal number, since it uses more digits than its factorization.

2667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2667168 is about 1633.1466559988. The cubic root of 2667168 is about 138.6809444536.

2667168 divided by its sum of digits (36) gives a cube (74088 = 42³).

Multiplying 2667168 by its product of digits (24192), we get a 4-th power (64524128256 = 504⁴).

The spelling of 2667168 in words is "two million, six hundred sixty-seven thousand, one hundred sixty-eight".