86456520 has 192 divisors, whose sum is σ = 297123840. Its totient is φ = 21772800.

The previous prime is 86456519. The next prime is 86456521. The reversal of 86456520 is 2565468.

86456520 is a `hidden beast` number, since 8 + 645 + 6 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86456519) and next prime (86456521).

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

It is not an unprimeable number, because it can be changed into a prime (86456521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680697 + ... + 680823.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2^86456520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86456520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

86456520 is an abundant number, since it is smaller than the sum of its proper divisors (210667320).

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

86456520 is a wasteful number, since it uses less digits than its factorization.

86456520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 86456520 is about 9298.1998257727. The cubic root of 86456520 is about 442.1801576484.

The spelling of 86456520 in words is "eighty-six million, four hundred fifty-six thousand, five hundred twenty".