86291520 has 112 divisors (see below), whose sum is σ = 313139328. Its totient is φ = 19722240.

The previous prime is 86291519. The next prime is 86291533. The reversal of 86291520 is 2519268.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300 + ... + 13140.

Almost surely, 2^86291520 is an apocalyptic number.

86291520 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 86291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156569664).

86291520 is an abundant number, since it is smaller than the sum of its proper divisors (226847808).

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

86291520 is a wasteful number, since it uses less digits than its factorization.

86291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 86291520 is about 9289.3229032045. The cubic root of 86291520 is about 441.8986820998.

The spelling of 86291520 in words is "eighty-six million, two hundred ninety-one thousand, five hundred twenty".