85290432 has 56 divisors (see below), whose sum is σ = 227453952. Its totient is φ = 28204800.

The previous prime is 85290427. The next prime is 85290461. The reversal of 85290432 is 23409258.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85290393 and 85290402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23457 + ... + 26847.

Almost surely, 2^85290432 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 85290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113726976).

85290432 is an abundant number, since it is smaller than the sum of its proper divisors (142163520).

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

85290432 is a wasteful number, since it uses less digits than its factorization.

85290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 85290432 is about 9235.2819123186. The cubic root of 85290432 is about 440.1831744216.

The spelling of 85290432 in words is "eighty-five million, two hundred ninety thousand, four hundred thirty-two".