86932512 has 72 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 28771200.

The previous prime is 86932507. The next prime is 86932513. The reversal of 86932512 is 21523968.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (86932513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42489 + ... + 44487.

It is an arithmetic number, because the mean of its divisors is an integer number (3458000).

Almost surely, 2^86932512 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 86932512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

86932512 is an abundant number, since it is smaller than the sum of its proper divisors (162043488).

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

86932512 is a wasteful number, since it uses less digits than its factorization.

86932512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2155 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 86932512 is about 9323.7606146876. The cubic root of 86932512 is about 442.9901568437.

The spelling of 86932512 in words is "eighty-six million, nine hundred thirty-two thousand, five hundred twelve".