86631972 has 48 divisors (see below), whose sum is σ = 232525440. Its totient is φ = 24590592.

The previous prime is 86631967. The next prime is 86631991. The reversal of 86631972 is 27913668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9904 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (4844280).

Almost surely, 2^86631972 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 86631972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116262720).

86631972 is an abundant number, since it is smaller than the sum of its proper divisors (145893468).

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

86631972 is a wasteful number, since it uses less digits than its factorization.

86631972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6738 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 86631972 is about 9307.6297734708. The cubic root of 86631972 is about 442.4790707966.

The spelling of 86631972 in words is "eighty-six million, six hundred thirty-one thousand, nine hundred seventy-two".