86974720 has 144 divisors (see below), whose sum is σ = 252540288. Its totient is φ = 28016640.

The previous prime is 86974651. The next prime is 86974739. The reversal of 86974720 is 2747968.

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, 152035 + ... + 152605.

It is an arithmetic number, because the mean of its divisors is an integer number (1753752).

Almost surely, 2^86974720 is an apocalyptic number.

86974720 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 86974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270144).

86974720 is an abundant number, since it is smaller than the sum of its proper divisors (165565568).

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

86974720 is a wasteful number, since it uses less digits than its factorization.

86974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 86974720 is about 9326.0238043874. The cubic root of 86974720 is about 443.0618396654.

The spelling of 86974720 in words is "eighty-six million, nine hundred seventy-four thousand, seven hundred twenty".