168379120 has 160 divisors (see below), whose sum is σ = 488718720. Its totient is φ = 52531200.

The previous prime is 168379103. The next prime is 168379139. The reversal of 168379120 is 21973861.

It is a self number, because there is not a number n which added to its sum of digits gives 168379120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735166 + ... + 735394.

It is an arithmetic number, because the mean of its divisors is an integer number (3054492).

Almost surely, 2^168379120 is an apocalyptic number.

168379120 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 168379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244359360).

168379120 is an abundant number, since it is smaller than the sum of its proper divisors (320339600).

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

168379120 is a wasteful number, since it uses less digits than its factorization.

168379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 168379120 is about 12976.0980267567. The cubic root of 168379120 is about 552.1995882611.

The spelling of 168379120 in words is "one hundred sixty-eight million, three hundred seventy-nine thousand, one hundred twenty".