86408100 has 72 divisors (see below), whose sum is σ = 277794720. Its totient is φ = 23041440.

The previous prime is 86408071. The next prime is 86408111. The reversal of 86408100 is 180468.

86408100 is a `hidden beast` number, since 8 + 640 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×86408100² = 14932719491220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13302 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (3858260).

Almost surely, 2^86408100 is an apocalyptic number.

It is an amenable number.

86408100 is an abundant number, since it is smaller than the sum of its proper divisors (191386620).

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

86408100 is a wasteful number, since it uses less digits than its factorization.

86408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32026 (or 32013 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86408100 is about 9295.5957313128. The cubic root of 86408100 is about 442.0975945233.

Adding to 86408100 its reverse (180468), we get a palindrome (86588568).

The spelling of 86408100 in words is "eighty-six million, four hundred eight thousand, one hundred".