86484640 has 48 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 31448320.

The previous prime is 86484631. The next prime is 86484667. The reversal of 86484640 is 4648468.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 86484593 and 86484602.

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, 22810 + ... + 26329.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^86484640 is an apocalyptic number.

86484640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86484640 is an abundant number, since it is smaller than the sum of its proper divisors (136414400).

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

86484640 is a wasteful number, since it uses less digits than its factorization.

86484640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49165 (or 49157 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 86484640 is about 9299.7118234922. The cubic root of 86484640 is about 442.2280921794.

The spelling of 86484640 in words is "eighty-six million, four hundred eighty-four thousand, six hundred forty".