168765120 has 280 divisors, whose sum is σ = 637300224. Its totient is φ = 42246144.

The previous prime is 168765089. The next prime is 168765127. The reversal of 168765120 is 21567861.

It is a super-2 number, since 2×168765120² = 56963331457228800, which contains 22 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 (168765127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440449 + ... + 440831.

Almost surely, 2^168765120 is an apocalyptic number.

168765120 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 168765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112).

168765120 is an abundant number, since it is smaller than the sum of its proper divisors (468535104).

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

168765120 is a wasteful number, since it uses less digits than its factorization.

168765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 168765120 is about 12990.9630128024. The cubic root of 168765120 is about 552.6212287643.

The spelling of 168765120 in words is "one hundred sixty-eight million, seven hundred sixty-five thousand, one hundred twenty".