168381504 has 126 divisors (see below), whose sum is σ = 502422414. Its totient is φ = 55987200.

The previous prime is 168381463. The next prime is 168381527. The reversal of 168381504 is 405183861.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 419904 = 12960^2 + 648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419704 + ... + 420104.

Almost surely, 2^168381504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251211207).

168381504 is an abundant number, since it is smaller than the sum of its proper divisors (334040910).

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

168381504 is an frugal number, since it uses more digits than its factorization.

168381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 168381504 is about 12976.1898876365. The cubic root of 168381504 is about 552.2021943594.

The spelling of 168381504 in words is "one hundred sixty-eight million, three hundred eighty-one thousand, five hundred four".