108604800 has 240 divisors, whose sum is σ = 401732100. Its totient is φ = 28892160.

The previous prime is 108604763. The next prime is 108604807. The reversal of 108604800 is 8406801.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108604807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258991 + ... + 259409.

Almost surely, 2^108604800 is an apocalyptic number.

108604800 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 108604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200866050).

108604800 is an abundant number, since it is smaller than the sum of its proper divisors (293127300).

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

108604800 is an equidigital number, since it uses as much as digits as its factorization.

108604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108604800 is about 10421.3626748137. The cubic root of 108604800 is about 477.1076059596.

The spelling of 108604800 in words is "one hundred eight million, six hundred four thousand, eight hundred".