86675400 has 192 divisors, whose sum is σ = 341347200. Its totient is φ = 19802880.

The previous prime is 86675399. The next prime is 86675441. The reversal of 86675400 is 457668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36654 + ... + 38946.

It is an arithmetic number, because the mean of its divisors is an integer number (1777850).

Almost surely, 2^86675400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170673600).

86675400 is an abundant number, since it is smaller than the sum of its proper divisors (254671800).

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

86675400 is a wasteful number, since it uses less digits than its factorization.

86675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86675400 is about 9309.9624059391. The cubic root of 86675400 is about 442.5529956637.

The spelling of 86675400 in words is "eighty-six million, six hundred seventy-five thousand, four hundred".