85556016 has 120 divisors (see below), whose sum is σ = 294738080. Its totient is φ = 22560768.

The previous prime is 85555997. The next prime is 85556039. The reversal of 85556016 is 61065558.

85556016 is a `hidden beast` number, since 85 + 5 + 560 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9840 + ... + 16368.

Almost surely, 2^85556016 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 85556016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147369040).

85556016 is an abundant number, since it is smaller than the sum of its proper divisors (209182064).

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

85556016 is a wasteful number, since it uses less digits than its factorization.

85556016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85556016 is about 9249.6495068732. The cubic root of 85556016 is about 440.6395932393.

The spelling of 85556016 in words is "eighty-five million, five hundred fifty-six thousand, sixteen".