86406816 has 48 divisors (see below), whose sum is σ = 227556000. Its totient is φ = 28708608.

The previous prime is 86406781. The next prime is 86406833. The reversal of 86406816 is 61860468.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×86406816² = 14932275702515712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32215 + ... + 34793.

It is an arithmetic number, because the mean of its divisors is an integer number (4740750).

Almost surely, 2^86406816 is an apocalyptic number.

It is an amenable number.

86406816 is an abundant number, since it is smaller than the sum of its proper divisors (141149184).

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

86406816 is a wasteful number, since it uses less digits than its factorization.

86406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86406816 is about 9295.5266660905. The cubic root of 86406816 is about 442.0954046972.

The spelling of 86406816 in words is "eighty-six million, four hundred six thousand, eight hundred sixteen".