168122880 has 120 divisors (see below), whose sum is σ = 582336612. Its totient is φ = 44826624.

The previous prime is 168122873. The next prime is 168122881. The reversal of 168122880 is 88221861.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 3873024 = 12816^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (168122881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19392 + ... + 26688.

Almost surely, 2^168122880 is an apocalyptic number.

168122880 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 168122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291168306).

168122880 is an abundant number, since it is smaller than the sum of its proper divisors (414213732).

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

168122880 is an equidigital number, since it uses as much as digits as its factorization.

168122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7326 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 168122880 is about 12966.2207292642. The cubic root of 168122880 is about 551.9193328877.

The spelling of 168122880 in words is "one hundred sixty-eight million, one hundred twenty-two thousand, eight hundred eighty".