111628800 has 480 divisors, whose sum is σ = 456667200. Its totient is φ = 26542080.

The previous prime is 111628793. The next prime is 111628823. The reversal of 111628800 is 8826111.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875191 + ... + 5875209.

It is an arithmetic number, because the mean of its divisors is an integer number (951390).

Almost surely, 2^111628800 is an apocalyptic number.

111628800 is a gapful number since it is divisible by the number (10) 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 111628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228333600).

111628800 is an abundant number, since it is smaller than the sum of its proper divisors (345038400).

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

111628800 is a wasteful number, since it uses less digits than its factorization.

111628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 111628800 is about 10565.4531374665. The cubic root of 111628800 is about 481.4953367625.

The spelling of 111628800 in words is "one hundred eleven million, six hundred twenty-eight thousand, eight hundred".