86586400 has 36 divisors (see below), whose sum is σ = 211381002. Its totient is φ = 34634240.

The previous prime is 86586359. The next prime is 86586407. The reversal of 86586400 is 468568.

It can be written as a sum of positive squares in 3 ways, for example, as 72658576 + 13927824 = 8524^2 + 3732^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86586400.

It is not an unprimeable number, because it can be changed into a prime (86586407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53317 + ... + 54916.

Almost surely, 2^86586400 is an apocalyptic number.

86586400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86586400 is an abundant number, since it is smaller than the sum of its proper divisors (124794602).

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

86586400 is a wasteful number, since it uses less digits than its factorization.

86586400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108253 (or 108240 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 86586400 is about 9305.1813523434. The cubic root of 86586400 is about 442.4014697578.

The spelling of 86586400 in words is "eighty-six million, five hundred eighty-six thousand, four hundred".