86533920 has 240 divisors, whose sum is σ = 333704448. Its totient is φ = 20943360.

The previous prime is 86533919. The next prime is 86533933. The reversal of 86533920 is 2933568.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 142257 + ... + 142863.

Almost surely, 2^86533920 is an apocalyptic number.

86533920 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 86533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224).

86533920 is an abundant number, since it is smaller than the sum of its proper divisors (247170528).

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

86533920 is a wasteful number, since it uses less digits than its factorization.

86533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

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

The square root of 86533920 is about 9302.3609906303. The cubic root of 86533920 is about 442.3120718795.

The spelling of 86533920 in words is "eighty-six million, five hundred thirty-three thousand, nine hundred twenty".