2560968 has 24 divisors (see below), whose sum is σ = 6936150. Its totient is φ = 853632.

The previous prime is 2560967. The next prime is 2560973. The reversal of 2560968 is 8690652.

2560968 is a `hidden beast` number, since 2 + 560 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1483524 + 1077444 = 1218^2 + 1038^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2560967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17713 + ... + 17856.

2^2560968 is an apocalyptic number.

It is an amenable number.

2560968 is an abundant number, since it is smaller than the sum of its proper divisors (4375182).

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

2560968 is a wasteful number, since it uses less digits than its factorization.

2560968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35581 (or 35574 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2560968 is about 1600.3024714097. The cubic root of 2560968 is about 136.8153158188.

The spelling of 2560968 in words is "two million, five hundred sixty thousand, nine hundred sixty-eight".