86078592 has 64 divisors (see below), whose sum is σ = 254061600. Its totient is φ = 28691712.

The previous prime is 86078567. The next prime is 86078593. The reversal of 86078592 is 29587068.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86078593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8998 + ... + 15909.

Almost surely, 2^86078592 is an apocalyptic number.

It is an amenable number.

86078592 is an abundant number, since it is smaller than the sum of its proper divisors (167983008).

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

86078592 is a wasteful number, since it uses less digits than its factorization.

86078592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24930 (or 24912 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86078592 is about 9277.8549244963. The cubic root of 86078592 is about 441.5349147935.

The spelling of 86078592 in words is "eighty-six million, seventy-eight thousand, five hundred ninety-two".