86401875 has 80 divisors (see below), whose sum is σ = 170945280. Its totient is φ = 37968000.

The previous prime is 86401853. The next prime is 86401897. The reversal of 86401875 is 57810468.

It is an interprime number because it is at equal distance from previous prime (86401853) and next prime (86401897).

It is not a de Polignac number, because 86401875 - 2⁶ = 86401811 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380512 + ... + 380738.

It is an arithmetic number, because the mean of its divisors is an integer number (2136816).

Almost surely, 2^86401875 is an apocalyptic number.

86401875 is a deficient number, since it is larger than the sum of its proper divisors (84543405).

86401875 is a wasteful number, since it uses less digits than its factorization.

86401875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 86401875 is about 9295.2608892919. The cubic root of 86401875 is about 442.0869777577.

The spelling of 86401875 in words is "eighty-six million, four hundred one thousand, eight hundred seventy-five".