86237664 has 96 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 27835392.

The previous prime is 86237663. The next prime is 86237681. The reversal of 86237664 is 46673268.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86237663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629404 + ... + 629540.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^86237664 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 86237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

86237664 is an abundant number, since it is smaller than the sum of its proper divisors (147457056).

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

86237664 is a wasteful number, since it uses less digits than its factorization.

86237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 86237664 is about 9286.4236388397. The cubic root of 86237664 is about 441.8067308156.

The spelling of 86237664 in words is "eighty-six million, two hundred thirty-seven thousand, six hundred sixty-four".