86612400 has 270 divisors, whose sum is σ = 350353692. Its totient is φ = 19756800.

The previous prime is 86612389. The next prime is 86612423. The reversal of 86612400 is 421668.

86612400 is a `hidden beast` number, since 8 + 6 + 612 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176155 + ... + 176645.

Almost surely, 2^86612400 is an apocalyptic number.

86612400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175176846).

86612400 is an abundant number, since it is smaller than the sum of its proper divisors (263741292).

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

86612400 is a wasteful number, since it uses less digits than its factorization.

86612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86612400 is about 9306.5783185873. The cubic root of 86612400 is about 442.4457464845.

The spelling of 86612400 in words is "eighty-six million, six hundred twelve thousand, four hundred".