86984760 has 128 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 22049280.

The previous prime is 86984753. The next prime is 86984783. The reversal of 86984760 is 6748968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249066 + ... + 249414.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^86984760 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 86984760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

86984760 is an abundant number, since it is smaller than the sum of its proper divisors (187191240).

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

86984760 is a wasteful number, since it uses less digits than its factorization.

86984760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 86984760 is about 9326.5620675574. The cubic root of 86984760 is about 443.0788874149.

The spelling of 86984760 in words is "eighty-six million, nine hundred eighty-four thousand, seven hundred sixty".