86928800 has 216 divisors, whose sum is σ = 261920736. Its totient is φ = 27578880.

The previous prime is 86928773. The next prime is 86928823. The reversal of 86928800 is 882968.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 2021579 + ... + 2021621.

It is an arithmetic number, because the mean of its divisors is an integer number (1212596).

Almost surely, 2^86928800 is an apocalyptic number.

86928800 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 86928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130960368).

86928800 is an abundant number, since it is smaller than the sum of its proper divisors (174991936).

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

86928800 is a wasteful number, since it uses less digits than its factorization.

86928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 86928800 is about 9323.5615512528. The cubic root of 86928800 is about 442.9838515584.

The spelling of 86928800 in words is "eighty-six million, nine hundred twenty-eight thousand, eight hundred".