65056400 has 30 divisors (see below), whose sum is σ = 156298962. Its totient is φ = 26022400.

The previous prime is 65056393. The next prime is 65056403. The reversal of 65056400 is 465056.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 64705936 = 592^2 + 8044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 65056400.

It is not an unprimeable number, because it can be changed into a prime (65056403) 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, 80921 + ... + 81720.

Almost surely, 2^65056400 is an apocalyptic number.

It is an amenable number.

65056400 is an abundant number, since it is smaller than the sum of its proper divisors (91242562).

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

65056400 is a wasteful number, since it uses less digits than its factorization.

65056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162659 (or 162648 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 65056400 is about 8065.7547693939. The cubic root of 65056400 is about 402.1888340004.

It can be divided in two parts, 65056 and 400, that added together give a palindrome (65456).

The spelling of 65056400 in words is "sixty-five million, fifty-six thousand, four hundred".