86588720 has 40 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 33789440.

The previous prime is 86588717. The next prime is 86588729. The reversal of 86588720 is 2788568.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (86588729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9920 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^86588720 is an apocalyptic number.

86588720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86588720 is an abundant number, since it is smaller than the sum of its proper divisors (119648080).

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

86588720 is a wasteful number, since it uses less digits than its factorization.

86588720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26453 (or 26447 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 86588720 is about 9305.3060132378. The cubic root of 86588720 is about 442.4054209643.

The spelling of 86588720 in words is "eighty-six million, five hundred eighty-eight thousand, seven hundred twenty".