86598720 has 280 divisors, whose sum is σ = 333033624. Its totient is φ = 21233664.

The previous prime is 86598709. The next prime is 86598739. The reversal of 86598720 is 2789568.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 69755904 = 4104^2 + 8352^2 .

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 39 ways as a sum of consecutive naturals, for example, 336832 + ... + 337088.

Almost surely, 2^86598720 is an apocalyptic number.

86598720 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 86598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166516812).

86598720 is an abundant number, since it is smaller than the sum of its proper divisors (246434904).

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

86598720 is a wasteful number, since it uses less digits than its factorization.

86598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86598720 is about 9305.8433255670. The cubic root of 86598720 is about 442.4224512192.

The spelling of 86598720 in words is "eighty-six million, five hundred ninety-eight thousand, seven hundred twenty".