86638860 has 432 divisors, whose sum is σ = 358525440. Its totient is φ = 16692480.

The previous prime is 86638859. The next prime is 86638883. The reversal of 86638860 is 6883668.

86638860 is a `hidden beast` number, since 8 + 6 + 638 + 8 + 6 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 1843357 + ... + 1843403.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 2^86638860 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 86638860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

86638860 is an abundant number, since it is smaller than the sum of its proper divisors (271886580).

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

86638860 is a wasteful number, since it uses less digits than its factorization.

86638860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86638860 is about 9307.9997851311. Note that the first 3 decimals coincide. The cubic root of 86638860 is about 442.4907974721.

The spelling of 86638860 in words is "eighty-six million, six hundred thirty-eight thousand, eight hundred sixty".