86455040 has 72 divisors (see below), whose sum is σ = 236695200. Its totient is φ = 29638656.

The previous prime is 86455027. The next prime is 86455079. The reversal of 86455040 is 4055468.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 86454988 and 86455006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4136 + ... + 13784.

Almost surely, 2^86455040 is an apocalyptic number.

86455040 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 86455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118347600).

86455040 is an abundant number, since it is smaller than the sum of its proper divisors (150240160).

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

86455040 is an equidigital number, since it uses as much as digits as its factorization.

86455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 86455040 is about 9298.1202401346. The cubic root of 86455040 is about 442.1776344904.

The spelling of 86455040 in words is "eighty-six million, four hundred fifty-five thousand, forty".