168904800 has 108 divisors (see below), whose sum is σ = 595625940. Its totient is φ = 45039360.

The previous prime is 168904781. The next prime is 168904807. The reversal of 168904800 is 8409861.

It is a happy number.

168904800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168904807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4530 + ... + 18929.

It is an arithmetic number, because the mean of its divisors is an integer number (5515055).

Almost surely, 2^168904800 is an apocalyptic number.

168904800 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 168904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297812970).

168904800 is an abundant number, since it is smaller than the sum of its proper divisors (426721140).

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

168904800 is a wasteful number, since it uses less digits than its factorization.

168904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23485 (or 23469 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 168904800 is about 12996.3379457446. The cubic root of 168904800 is about 552.7736473985.

The spelling of 168904800 in words is "one hundred sixty-eight million, nine hundred four thousand, eight hundred".