85885632 has 252 divisors, whose sum is σ = 304906680. Its totient is φ = 22966272.

The previous prime is 85885627. The next prime is 85885637. The reversal of 85885632 is 23658858.

It is a happy number.

85885632 is a `hidden beast` number, since 8 + 5 + 8 + 8 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (85885627) and next prime (85885637).

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (85885637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479719 + ... + 479897.

Almost surely, 2^85885632 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 85885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152453340).

85885632 is an abundant number, since it is smaller than the sum of its proper divisors (219021048).

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

85885632 is a wasteful number, since it uses less digits than its factorization.

85885632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85885632 is about 9267.4501347458. The cubic root of 85885632 is about 441.2047424204.

The spelling of 85885632 in words is "eighty-five million, eight hundred eighty-five thousand, six hundred thirty-two".