86393520 has 320 divisors, whose sum is σ = 325693440. Its totient is φ = 20984832.

The previous prime is 86393501. The next prime is 86393521. The reversal of 86393520 is 2539368.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86393521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1838137 + ... + 1838183.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^86393520 is an apocalyptic number.

86393520 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 86393520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

86393520 is an abundant number, since it is smaller than the sum of its proper divisors (239299920).

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

86393520 is a wasteful number, since it uses less digits than its factorization.

86393520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 86393520 is about 9294.8114558607. The cubic root of 86393520 is about 442.0727274660.

It can be divided in two parts, 863935 and 20, that added together give a triangular number (863955 = T₁₃₁₄).

The spelling of 86393520 in words is "eighty-six million, three hundred ninety-three thousand, five hundred twenty".