2605968 has 30 divisors (see below), whose sum is σ = 7293494. Its totient is φ = 868608.

The previous prime is 2605949. The next prime is 2605979. The reversal of 2605968 is 8695062.

2605968 is a `hidden beast` number, since 2 + 60 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 831744 = 1332^2 + 912^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8905 + ... + 9192.

2^2605968 is an apocalyptic number.

It is an amenable number.

2605968 is an abundant number, since it is smaller than the sum of its proper divisors (4687526).

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

2605968 is a wasteful number, since it uses less digits than its factorization.

2605968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18111 (or 18102 counting only the distinct ones).

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

The square root of 2605968 is about 1614.3010871582. The cubic root of 2605968 is about 137.6120167079.

The spelling of 2605968 in words is "two million, six hundred five thousand, nine hundred sixty-eight".