168870144 has 144 divisors (see below), whose sum is σ = 478001664. Its totient is φ = 52838400.

The previous prime is 168870133. The next prime is 168870179. The reversal of 168870144 is 441078861.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976042 + ... + 976214.

It is an arithmetic number, because the mean of its divisors is an integer number (3319456).

Almost surely, 2^168870144 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 168870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239000832).

168870144 is an abundant number, since it is smaller than the sum of its proper divisors (309131520).

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

168870144 is a wasteful number, since it uses less digits than its factorization.

168870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 168870144 is about 12995.0045786833. The cubic root of 168870144 is about 552.7358386568.

The spelling of 168870144 in words is "one hundred sixty-eight million, eight hundred seventy thousand, one hundred forty-four".