2167680 has 64 divisors (see below), whose sum is σ = 6915600. Its totient is φ = 577536.

The previous prime is 2167661. The next prime is 2167703. The reversal of 2167680 is 867612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356 + ... + 2484.

2^2167680 is an apocalyptic number.

2167680 is a gapful number since it is divisible by the number (20) 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 2167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457800).

2167680 is an abundant number, since it is smaller than the sum of its proper divisors (4747920).

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

2167680 is a wasteful number, since it uses less digits than its factorization.

2167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2167680 is about 1472.3043163694. The cubic root of 2167680 is about 129.4191044290.

Adding to 2167680 its product of nonzero digits (4032), we get a palindrome (2171712).

The spelling of 2167680 in words is "two million, one hundred sixty-seven thousand, six hundred eighty".