168049920 has 144 divisors (see below), whose sum is σ = 543049920. Its totient is φ = 44285952.

The previous prime is 168049919. The next prime is 168049963. The reversal of 168049920 is 29940861.

It is a super-2 number, since 2×168049920² = 56481551224012800, which contains 22 as substring.

It is a congruent number.

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, 410676 + ... + 411084.

It is an arithmetic number, because the mean of its divisors is an integer number (3771180).

Almost surely, 2^168049920 is an apocalyptic number.

168049920 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 168049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524960).

168049920 is an abundant number, since it is smaller than the sum of its proper divisors (375000000).

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

168049920 is a wasteful number, since it uses less digits than its factorization.

168049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 168049920 is about 12963.4069595921. The cubic root of 168049920 is about 551.8394828380.

The spelling of 168049920 in words is "one hundred sixty-eight million, forty-nine thousand, nine hundred twenty".