86585304 has 64 divisors (see below), whose sum is σ = 235599840. Its totient is φ = 26357760.

The previous prime is 86585293. The next prime is 86585347. The reversal of 86585304 is 40358568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 28834 + ... + 31694.

Almost surely, 2^86585304 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 86585304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117799920).

86585304 is an abundant number, since it is smaller than the sum of its proper divisors (149014536).

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

86585304 is a wasteful number, since it uses less digits than its factorization.

86585304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 86585304 is about 9305.1224602366. The cubic root of 86585304 is about 442.3996031288.

The spelling of 86585304 in words is "eighty-six million, five hundred eighty-five thousand, three hundred four".