168057360 has 120 divisors (see below), whose sum is σ = 578259864. Its totient is φ = 43714560.

The previous prime is 168057347. The next prime is 168057361. The reversal of 168057360 is 63750861.

168057360 is a `hidden beast` number, since 1 + 6 + 80 + 573 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 163021824 = 2244^2 + 12768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×168057360³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (168057361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26674 + ... + 32366.

Almost surely, 2^168057360 is an apocalyptic number.

168057360 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 168057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289129932).

168057360 is an abundant number, since it is smaller than the sum of its proper divisors (410202504).

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

168057360 is a wasteful number, since it uses less digits than its factorization.

168057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 168057360 is about 12963.6939180158. The cubic root of 168057360 is about 551.8476264999.

The spelling of 168057360 in words is "one hundred sixty-eight million, fifty-seven thousand, three hundred sixty".