86040564 has 48 divisors (see below), whose sum is σ = 208528320. Its totient is φ = 27578880.

The previous prime is 86040533. The next prime is 86040589. The reversal of 86040564 is 46504068.

It is a happy number.

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, 150399 + ... + 150969.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^86040564 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 86040564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264160).

86040564 is an abundant number, since it is smaller than the sum of its proper divisors (122487756).

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

86040564 is a wasteful number, since it uses less digits than its factorization.

86040564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 86040564 is about 9275.8053019670. The cubic root of 86040564 is about 441.4698844433.

The spelling of 86040564 in words is "eighty-six million, forty thousand, five hundred sixty-four".