85292032 has 88 divisors (see below), whose sum is σ = 198739136. Its totient is φ = 35831808.

The previous prime is 85292029. The next prime is 85292033. The reversal of 85292032 is 23029258.

It is a junction number, because it is equal to n+sod(n) for n = 85291985 and 85292003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85292033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523183 + ... + 523345.

Almost surely, 2^85292032 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 85292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99369568).

85292032 is an abundant number, since it is smaller than the sum of its proper divisors (113447104).

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

85292032 is a wasteful number, since it uses less digits than its factorization.

85292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 85292032 is about 9235.3685362307. The cubic root of 85292032 is about 440.1859269331.

The spelling of 85292032 in words is "eighty-five million, two hundred ninety-two thousand, thirty-two".