86056400 has 30 divisors (see below), whose sum is σ = 206751462. Its totient is φ = 34422400.

The previous prime is 86056367. The next prime is 86056423. The reversal of 86056400 is 465068.

It can be written as a sum of positive squares in 3 ways, for example, as 15429184 + 70627216 = 3928^2 + 8404^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107171 + ... + 107970.

Almost surely, 2^86056400 is an apocalyptic number.

86056400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86056400 is an abundant number, since it is smaller than the sum of its proper divisors (120695062).

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

86056400 is a wasteful number, since it uses less digits than its factorization.

86056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215159 (or 215148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 86056400 is about 9276.6588812999. The cubic root of 86056400 is about 441.4969673598.

The spelling of 86056400 in words is "eighty-six million, fifty-six thousand, four hundred".