86983872 has 56 divisors (see below), whose sum is σ = 230886000. Its totient is φ = 28901376.

The previous prime is 86983859. The next prime is 86983873. The reversal of 86983872 is 27838968.

It is a super-2 number, since 2×86983872² = 15132387976224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86983873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85704 + ... + 86712.

Almost surely, 2^86983872 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 86983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115443000).

86983872 is an abundant number, since it is smaller than the sum of its proper divisors (143902128).

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

86983872 is a wasteful number, since it uses less digits than its factorization.

86983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1463 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 86983872 is about 9326.5144614695. The cubic root of 86983872 is about 443.0773796588.

The spelling of 86983872 in words is "eighty-six million, nine hundred eighty-three thousand, eight hundred seventy-two".