85356864 has 168 divisors, whose sum is σ = 271028160. Its totient is φ = 25546752.

The previous prime is 85356853. The next prime is 85356883. The reversal of 85356864 is 46865358.

85356864 is a `hidden beast` number, since 85 + 3 + 568 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225027 + ... + 225405.

Almost surely, 2^85356864 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 85356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

85356864 is an abundant number, since it is smaller than the sum of its proper divisors (185671296).

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

85356864 is a wasteful number, since it uses less digits than its factorization.

85356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 85356864 is about 9238.8778539388. The cubic root of 85356864 is about 440.2974297531.

The spelling of 85356864 in words is "eighty-five million, three hundred fifty-six thousand, eight hundred sixty-four".