86395700 has 36 divisors (see below), whose sum is σ = 198510732. Its totient is φ = 32524800.

The previous prime is 86395693. The next prime is 86395721. The reversal of 86395700 is 759368.

It can be written as a sum of positive squares in 6 ways, for example, as 9412624 + 76983076 = 3068^2 + 8774^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23711 + ... + 27110.

It is an arithmetic number, because the mean of its divisors is an integer number (5514187).

Almost surely, 2^86395700 is an apocalyptic number.

It is an amenable number.

86395700 is an abundant number, since it is smaller than the sum of its proper divisors (112115032).

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

86395700 is a wasteful number, since it uses less digits than its factorization.

86395700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50852 (or 50845 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 86395700 is about 9294.9287248478. The cubic root of 86395700 is about 442.0764457636.

The spelling of 86395700 in words is "eighty-six million, three hundred ninety-five thousand, seven hundred".