2767968 has 72 divisors (see below), whose sum is σ = 9002448. Its totient is φ = 790272.

The previous prime is 2767949. The next prime is 2767993. The reversal of 2767968 is 8697672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (125034).

2^2767968 is an apocalyptic number.

2767968 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 2767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501224).

2767968 is an abundant number, since it is smaller than the sum of its proper divisors (6234480).

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

2767968 is a wasteful number, since it uses less digits than its factorization.

2767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2767968 is about 1663.7211304783. The cubic root of 2767968 is about 140.4064379642.

The spelling of 2767968 in words is "two million, seven hundred sixty-seven thousand, nine hundred sixty-eight".