86931400 has 48 divisors (see below), whose sum is σ = 204244740. Its totient is φ = 34406400.

The previous prime is 86931391. The next prime is 86931431. The reversal of 86931400 is 413968.

It can be written as a sum of positive squares in 6 ways, for example, as 42068196 + 44863204 = 6486^2 + 6698^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17160 + ... + 21640.

Almost surely, 2^86931400 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 86931400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102122370).

86931400 is an abundant number, since it is smaller than the sum of its proper divisors (117313340).

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

86931400 is a wasteful number, since it uses less digits than its factorization.

86931400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 86931400 is about 9323.7009819063. The cubic root of 86931400 is about 442.9882679947.

The spelling of 86931400 in words is "eighty-six million, nine hundred thirty-one thousand, four hundred".