162088080 has 320 divisors, whose sum is σ = 642816000. Its totient is φ = 33492480.

The previous prime is 162088049. The next prime is 162088097. The reversal of 162088080 is 80880261.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905431 + ... + 905609.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^162088080 is an apocalyptic number.

162088080 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 162088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

162088080 is an abundant number, since it is smaller than the sum of its proper divisors (480727920).

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

162088080 is a wasteful number, since it uses less digits than its factorization.

162088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 162088080 is about 12731.3817003497. The cubic root of 162088080 is about 545.2349574692.

The spelling of 162088080 in words is "one hundred sixty-two million, eighty-eight thousand, eighty".