162118080 has 168 divisors, whose sum is σ = 562502304. Its totient is φ = 42854400.

The previous prime is 162118067. The next prime is 162118093. The reversal of 162118080 is 80811261.

It is an interprime number because it is at equal distance from previous prime (162118067) and next prime (162118093).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521125 + ... + 521435.

It is an arithmetic number, because the mean of its divisors is an integer number (3348228).

Almost surely, 2^162118080 is an apocalyptic number.

162118080 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 162118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281251152).

162118080 is an abundant number, since it is smaller than the sum of its proper divisors (400384224).

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

162118080 is a wasteful number, since it uses less digits than its factorization.

162118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 162118080 is about 12732.5598368906. The cubic root of 162118080 is about 545.2685935837.

It can be divided in two parts, 1621 and 18080, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 162118080 in words is "one hundred sixty-two million, one hundred eighteen thousand, eighty".