86593920 has 256 divisors, whose sum is σ = 334886400. Its totient is φ = 18579456.

The previous prime is 86593879. The next prime is 86593931. The reversal of 86593920 is 2939568.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 228291 + ... + 228669.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^86593920 is an apocalyptic number.

86593920 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 86593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

86593920 is an abundant number, since it is smaller than the sum of its proper divisors (248292480).

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

86593920 is a wasteful number, since it uses less digits than its factorization.

86593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 86593920 is about 9305.5854195209. The cubic root of 86593920 is about 442.4142768605.

The spelling of 86593920 in words is "eighty-six million, five hundred ninety-three thousand, nine hundred twenty".