86648580 has 144 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 22049280.

The previous prime is 86648563. The next prime is 86648603. The reversal of 86648580 is 8584668.

86648580 is a `hidden beast` number, since 8 + 6 + 64 + 8 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435321 + ... + 435519.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^86648580 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 86648580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

86648580 is an abundant number, since it is smaller than the sum of its proper divisors (188535420).

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

86648580 is a wasteful number, since it uses less digits than its factorization.

86648580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 86648580 is about 9308.5219019993. The cubic root of 86648580 is about 442.5073445109.

The spelling of 86648580 in words is "eighty-six million, six hundred forty-eight thousand, five hundred eighty".