86976720 has 160 divisors (see below), whose sum is σ = 304563840. Its totient is φ = 22809600.

The previous prime is 86976707. The next prime is 86976749. The reversal of 86976720 is 2767968.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 144420 + ... + 145020.

It is an arithmetic number, because the mean of its divisors is an integer number (1903524).

Almost surely, 2^86976720 is an apocalyptic number.

86976720 is a gapful number since it is divisible by the number (80) 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 86976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152281920).

86976720 is an abundant number, since it is smaller than the sum of its proper divisors (217587120).

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

86976720 is a wasteful number, since it uses less digits than its factorization.

86976720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 86976720 is about 9326.1310306043. The cubic root of 86976720 is about 443.0652357361.

The spelling of 86976720 in words is "eighty-six million, nine hundred seventy-six thousand, seven hundred twenty".