85730832 has 80 divisors (see below), whose sum is σ = 268464960. Its totient is φ = 25977600.

The previous prime is 85730809. The next prime is 85730849. The reversal of 85730832 is 23803758.

85730832 is a `hidden beast` number, since 8 + 573 + 0 + 83 + 2 = 666.

It is a super-5 number, since 5×85730832⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269 + ... + 13772.

It is an arithmetic number, because the mean of its divisors is an integer number (3355812).

Almost surely, 2^85730832 is an apocalyptic number.

It is an amenable number.

85730832 is an abundant number, since it is smaller than the sum of its proper divisors (182734128).

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

85730832 is a wasteful number, since it uses less digits than its factorization.

85730832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18069 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85730832 is about 9259.0945561648. The cubic root of 85730832 is about 440.9395076450.

The spelling of 85730832 in words is "eighty-five million, seven hundred thirty thousand, eight hundred thirty-two".