86972424 has 128 divisors (see below), whose sum is σ = 285465600. Its totient is φ = 21392640.

The previous prime is 86972411. The next prime is 86972441. The reversal of 86972424 is 42427968.

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 31 ways as a sum of consecutive naturals, for example, 33874 + ... + 36350.

It is an arithmetic number, because the mean of its divisors is an integer number (2230200).

Almost surely, 2^86972424 is an apocalyptic number.

86972424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86972424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142732800).

86972424 is an abundant number, since it is smaller than the sum of its proper divisors (198493176).

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

86972424 is a wasteful number, since it uses less digits than its factorization.

86972424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2519 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 86972424 is about 9325.9007071703. The cubic root of 86972424 is about 443.0579409121.

The spelling of 86972424 in words is "eighty-six million, nine hundred seventy-two thousand, four hundred twenty-four".