162481920 has 288 divisors, whose sum is σ = 582785280. Its totient is φ = 38338560.

The previous prime is 162481919. The next prime is 162481927. The reversal of 162481920 is 29184261.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162481927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240255 + ... + 1240385.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 2^162481920 is an apocalyptic number.

162481920 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 162481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291392640).

162481920 is an abundant number, since it is smaller than the sum of its proper divisors (420303360).

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

162481920 is a wasteful number, since it uses less digits than its factorization.

162481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 162481920 is about 12746.8396083108. The cubic root of 162481920 is about 545.6762024381.

The spelling of 162481920 in words is "one hundred sixty-two million, four hundred eighty-one thousand, nine hundred twenty".