86775360 has 224 divisors, whose sum is σ = 324307200. Its totient is φ = 19243008.

The previous prime is 86775349. The next prime is 86775379. The reversal of 86775360 is 6357768.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 248466 + ... + 248814.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 2^86775360 is an apocalyptic number.

86775360 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 86775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153600).

86775360 is an abundant number, since it is smaller than the sum of its proper divisors (237531840).

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

86775360 is a wasteful number, since it uses less digits than its factorization.

86775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 86775360 is about 9315.3293017477. The cubic root of 86775360 is about 442.7230577666.

The spelling of 86775360 in words is "eighty-six million, seven hundred seventy-five thousand, three hundred sixty".