86885400 has 192 divisors, whose sum is σ = 312122880. Its totient is φ = 19584000.

The previous prime is 86885389. The next prime is 86885429. The reversal of 86885400 is 458868.

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 47 ways as a sum of consecutive naturals, for example, 575325 + ... + 575475.

It is an arithmetic number, because the mean of its divisors is an integer number (1625640).

Almost surely, 2^86885400 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 86885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156061440).

86885400 is an abundant number, since it is smaller than the sum of its proper divisors (225237480).

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

86885400 is a wasteful number, since it uses less digits than its factorization.

86885400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86885400 is about 9321.2338239098. The cubic root of 86885400 is about 442.9101180372.

It can be divided in two parts, 868 and 85400, that added together give a palindrome (86268).

The spelling of 86885400 in words is "eighty-six million, eight hundred eighty-five thousand, four hundred".