162164940 has 96 divisors (see below), whose sum is σ = 522568704. Its totient is φ = 36806400.

The previous prime is 162164939. The next prime is 162164957. The reversal of 162164940 is 49461261.

162164940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 62142 + ... + 64698.

It is an arithmetic number, because the mean of its divisors is an integer number (5443424).

Almost surely, 2^162164940 is an apocalyptic number.

162164940 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 162164940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261284352).

162164940 is an abundant number, since it is smaller than the sum of its proper divisors (360403764).

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

162164940 is a wasteful number, since it uses less digits than its factorization.

162164940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 162164940 is about 12734.3998680739. The cubic root of 162164940 is about 545.3211248927.

The spelling of 162164940 in words is "one hundred sixty-two million, one hundred sixty-four thousand, nine hundred forty".