162338940 has 144 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 40936320.

The previous prime is 162338921. The next prime is 162338963. The reversal of 162338940 is 49833261.

162338940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 162338895 and 162338904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261951 + ... + 262569.

It is an arithmetic number, because the mean of its divisors is an integer number (3610880).

Almost surely, 2^162338940 is an apocalyptic number.

162338940 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 162338940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

162338940 is an abundant number, since it is smaller than the sum of its proper divisors (357627780).

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

162338940 is a wasteful number, since it uses less digits than its factorization.

162338940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 162338940 is about 12741.2299249327. The cubic root of 162338940 is about 545.5160950241.

The spelling of 162338940 in words is "one hundred sixty-two million, three hundred thirty-eight thousand, nine hundred forty".