85557816 has 64 divisors (see below), whose sum is σ = 243482400. Its totient is φ = 27820800.

The previous prime is 85557809. The next prime is 85557839. The reversal of 85557816 is 61875558.

85557816 is a `hidden beast` number, since 85 + 557 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026 + ... + 13686.

Almost surely, 2^85557816 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 85557816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121741200).

85557816 is an abundant number, since it is smaller than the sum of its proper divisors (157924584).

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

85557816 is a wasteful number, since it uses less digits than its factorization.

85557816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9707 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 85557816 is about 9249.7468073456. The cubic root of 85557816 is about 440.6426834008.

The spelling of 85557816 in words is "eighty-five million, five hundred fifty-seven thousand, eight hundred sixteen".