166815360 has 96 divisors (see below), whose sum is σ = 576054180. Its totient is φ = 44482560.

The previous prime is 166815349. The next prime is 166815367. The reversal of 166815360 is 63518661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 159971904 + 6843456 = 12648^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (166815367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8721 + ... + 20240.

Almost surely, 2^166815360 is an apocalyptic number.

166815360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166815360 is an abundant number, since it is smaller than the sum of its proper divisors (409238820).

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

166815360 is a wasteful number, since it uses less digits than its factorization.

166815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28986 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 166815360 is about 12915.7020715097. The cubic root of 166815360 is about 550.4848176931.

The spelling of 166815360 in words is "one hundred sixty-six million, eight hundred fifteen thousand, three hundred sixty".