65612800 has 132 divisors (see below), whose sum is σ = 178187256. Its totient is φ = 23756800.

The previous prime is 65612773. The next prime is 65612831. The reversal of 65612800 is 821656.

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, 281484 + ... + 281716.

Almost surely, 2^65612800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89093628).

65612800 is an abundant number, since it is smaller than the sum of its proper divisors (112574456).

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

65612800 is a wasteful number, since it uses less digits than its factorization.

65612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 65612800 is about 8100.1728376622. The cubic root of 65612800 is about 403.3321646180.

It can be divided in two parts, 656 and 12800, that added together give a square (13456 = 116²).

The spelling of 65612800 in words is "sixty-five million, six hundred twelve thousand, eight hundred".