65564800 has 96 divisors (see below), whose sum is σ = 185166720. Its totient is φ = 22471680.

The previous prime is 65564797. The next prime is 65564843. The reversal of 65564800 is 846556.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 20937 + ... + 23863.

It is an arithmetic number, because the mean of its divisors is an integer number (1928820).

Almost surely, 2^65564800 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 65564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92583360).

65564800 is an abundant number, since it is smaller than the sum of its proper divisors (119601920).

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

65564800 is a wasteful number, since it uses less digits than its factorization.

65564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 65564800 is about 8097.2093958351. The cubic root of 65564800 is about 403.2337861165.

The spelling of 65564800 in words is "sixty-five million, five hundred sixty-four thousand, eight hundred".