168148800 has 126 divisors (see below), whose sum is σ = 597691718. Its totient is φ = 44835840.

The previous prime is 168148789. The next prime is 168148801. The reversal of 168148800 is 8841861.

It can be written as a sum of positive squares in 3 ways, for example, as 31539456 + 136609344 = 5616^2 + 11688^2 .

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 (168148801) 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, 8562 + ... + 20238.

Almost surely, 2^168148800 is an apocalyptic number.

168148800 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 168148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298845859).

168148800 is an abundant number, since it is smaller than the sum of its proper divisors (429542918).

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

168148800 is a wasteful number, since it uses less digits than its factorization.

168148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11705 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 168148800 is about 12967.2202109781. The cubic root of 168148800 is about 551.9476951070.

The spelling of 168148800 in words is "one hundred sixty-eight million, one hundred forty-eight thousand, eight hundred".