86332400 has 120 divisors (see below), whose sum is σ = 258685824. Its totient is φ = 26899200.

The previous prime is 86332387. The next prime is 86332439. The reversal of 86332400 is 423368.

It is a self number, because there is not a number n which added to its sum of digits gives 86332400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29399 + ... + 32201.

Almost surely, 2^86332400 is an apocalyptic number.

86332400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129342912).

86332400 is an abundant number, since it is smaller than the sum of its proper divisors (172353424).

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

86332400 is a wasteful number, since it uses less digits than its factorization.

86332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 86332400 is about 9291.5230183216. The cubic root of 86332400 is about 441.9684532128.

Adding to 86332400 its reverse (423368), we get a palindrome (86755768).

The spelling of 86332400 in words is "eighty-six million, three hundred thirty-two thousand, four hundred".