168979872 has 48 divisors (see below), whose sum is σ = 446548032. Its totient is φ = 55948800.

The previous prime is 168979871. The next prime is 168979883. The reversal of 168979872 is 278979861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×168979872² = 57108394282272768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168979871) 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 7 ways as a sum of consecutive naturals, for example, 8668 + ... + 20324.

It is an arithmetic number, because the mean of its divisors is an integer number (9303084).

Almost surely, 2^168979872 is an apocalyptic number.

168979872 is a gapful number since it is divisible by the number (12) 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 168979872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223274016).

168979872 is an abundant number, since it is smaller than the sum of its proper divisors (277568160).

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

168979872 is a wasteful number, since it uses less digits than its factorization.

168979872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821 (or 11813 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 57.

The square root of 168979872 is about 12999.2258231019. The cubic root of 168979872 is about 552.8555311514.

The spelling of 168979872 in words is "one hundred sixty-eight million, nine hundred seventy-nine thousand, eight hundred seventy-two".