86335920 has 180 divisors, whose sum is σ = 319021248. Its totient is φ = 20908800.

The previous prime is 86335919. The next prime is 86335973. The reversal of 86335920 is 2953368.

86335920 is a `hidden beast` number, since 8 + 63 + 3 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86625 + ... + 87615.

Almost surely, 2^86335920 is an apocalyptic number.

86335920 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 86335920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159510624).

86335920 is an abundant number, since it is smaller than the sum of its proper divisors (232685328).

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

86335920 is a wasteful number, since it uses less digits than its factorization.

86335920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1012 counting only the distinct ones).

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

The square root of 86335920 is about 9291.7124363596. The cubic root of 86335920 is about 441.9744598716.

The spelling of 86335920 in words is "eighty-six million, three hundred thirty-five thousand, nine hundred twenty".