85900032 has 108 divisors (see below), whose sum is σ = 258598704. Its totient is φ = 27371520.

The previous prime is 85900027. The next prime is 85900037. The reversal of 85900032 is 23000958.

It is an interprime number because it is at equal distance from previous prime (85900027) and next prime (85900037).

It is a junction number, because it is equal to n+sod(n) for n = 85899969 and 85900005.

It is not an unprimeable number, because it can be changed into a prime (85900037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52182 + ... + 53802.

Almost surely, 2^85900032 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 85900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129299352).

85900032 is an abundant number, since it is smaller than the sum of its proper divisors (172698672).

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

85900032 is a wasteful number, since it uses less digits than its factorization.

85900032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 85900032 is about 9268.2270149150. The cubic root of 85900032 is about 441.2293992153.

The spelling of 85900032 in words is "eighty-five million, nine hundred thousand, thirty-two".