86862400 has 63 divisors (see below), whose sum is σ = 214657051. Its totient is φ = 34595840.

The previous prime is 86862379. The next prime is 86862431. The reversal of 86862400 is 426868.

The square root of 86862400 is 9320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17106496 + 69755904 = 4136^2 + 8352^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 372684 + ... + 372916.

Almost surely, 2^86862400 is an apocalyptic number.

86862400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86862400 is the 9320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86862400

86862400 is an abundant number, since it is smaller than the sum of its proper divisors (127794651).

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

86862400 is an equidigital number, since it uses as much as digits as its factorization.

86862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The cubic root of 86862400 is about 442.8710327143.

The spelling of 86862400 in words is "eighty-six million, eight hundred sixty-two thousand, four hundred".