86508972 has 192 divisors, whose sum is σ = 264499200. Its totient is φ = 24494400.

The previous prime is 86508949. The next prime is 86508973. The reversal of 86508972 is 27980568.

It is not an unprimeable number, because it can be changed into a prime (86508973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790597 + ... + 2790627.

It is an arithmetic number, because the mean of its divisors is an integer number (1377600).

Almost surely, 2^86508972 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 86508972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132249600).

86508972 is an abundant number, since it is smaller than the sum of its proper divisors (177990228).

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

86508972 is a wasteful number, since it uses less digits than its factorization.

86508972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86508972 is about 9301.0199440707. The cubic root of 86508972 is about 442.2695611423.

The spelling of 86508972 in words is "eighty-six million, five hundred eight thousand, nine hundred seventy-two".