65537856 has 224 divisors, whose sum is σ = 215066880. Its totient is φ = 19464192.

The previous prime is 65537837. The next prime is 65537861. The reversal of 65537856 is 65873556.

65537856 is a `hidden beast` number, since 65 + 537 + 8 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675600 + ... + 675696.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^65537856 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 65537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

65537856 is an abundant number, since it is smaller than the sum of its proper divisors (149529024).

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

65537856 is a wasteful number, since it uses less digits than its factorization.

65537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 65537856 is about 8095.5454417846. The cubic root of 65537856 is about 403.1785419419.

The spelling of 65537856 in words is "sixty-five million, five hundred thirty-seven thousand, eight hundred fifty-six".