86435872 has 24 divisors (see below), whose sum is σ = 174323772. Its totient is φ = 42163200.

The previous prime is 86435861. The next prime is 86435927. The reversal of 86435872 is 27853468.

It can be written as a sum of positive squares in 2 ways, for example, as 81072016 + 5363856 = 9004^2 + 2316^2 .

It is a Smith number, since the sum of its digits (43) 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 3 ways as a sum of consecutive naturals, for example, 31629 + ... + 34252.

Almost surely, 2^86435872 is an apocalyptic number.

86435872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

86435872 is an abundant number, since it is smaller than the sum of its proper divisors (87887900).

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

86435872 is a wasteful number, since it uses less digits than its factorization.

86435872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65932 (or 65924 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 86435872 is about 9297.0894370228. The cubic root of 86435872 is about 442.1449535835.

The spelling of 86435872 in words is "eighty-six million, four hundred thirty-five thousand, eight hundred seventy-two".