85866912 has 192 divisors, whose sum is σ = 272160000. Its totient is φ = 26256384.

The previous prime is 85866857. The next prime is 85866919. The reversal of 85866912 is 21966858.

85866912 is a `hidden beast` number, since 8 + 586 + 69 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (85866919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576214 + ... + 576362.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^85866912 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 85866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

85866912 is an abundant number, since it is smaller than the sum of its proper divisors (186293088).

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

85866912 is a wasteful number, since it uses less digits than its factorization.

85866912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 85866912 is about 9266.4400931534. The cubic root of 85866912 is about 441.1726844663.

The spelling of 85866912 in words is "eighty-five million, eight hundred sixty-six thousand, nine hundred twelve".