86472624 has 80 divisors (see below), whose sum is σ = 259546880. Its totient is φ = 24295680.

The previous prime is 86472623. The next prime is 86472677. The reversal of 86472624 is 42627468.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86472623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18387 + ... + 22605.

It is an arithmetic number, because the mean of its divisors is an integer number (3244336).

Almost surely, 2^86472624 is an apocalyptic number.

86472624 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 86472624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773440).

86472624 is an abundant number, since it is smaller than the sum of its proper divisors (173074256).

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

86472624 is a wasteful number, since it uses less digits than its factorization.

86472624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4292 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 86472624 is about 9299.0657595266. The cubic root of 86472624 is about 442.2076104735.

The spelling of 86472624 in words is "eighty-six million, four hundred seventy-two thousand, six hundred twenty-four".