86587920 has 80 divisors (see below), whose sum is σ = 298254720. Its totient is φ = 23089536.

The previous prime is 86587909. The next prime is 86587927. The reversal of 86587920 is 2978568.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86587927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17884 + ... + 22203.

It is an arithmetic number, because the mean of its divisors is an integer number (3728184).

Almost surely, 2^86587920 is an apocalyptic number.

86587920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86587920 is an abundant number, since it is smaller than the sum of its proper divisors (211666800).

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

86587920 is a wasteful number, since it uses less digits than its factorization.

86587920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40109 (or 40097 counting only the distinct ones).

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

The square root of 86587920 is about 9305.2630269112. The cubic root of 86587920 is about 442.4040584873.

The spelling of 86587920 in words is "eighty-six million, five hundred eighty-seven thousand, nine hundred twenty".