162938640 has 80 divisors (see below), whose sum is σ = 512699328. Its totient is φ = 42797568.

The previous prime is 162938609. The next prime is 162938663. The reversal of 162938640 is 46839261.

162938640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11014 + ... + 21146.

Almost surely, 2^162938640 is an apocalyptic number.

162938640 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 162938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256349664).

162938640 is an abundant number, since it is smaller than the sum of its proper divisors (349760688).

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

162938640 is a wasteful number, since it uses less digits than its factorization.

162938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 162938640 is about 12764.7420655492. The cubic root of 162938640 is about 546.1870040652.

The spelling of 162938640 in words is "one hundred sixty-two million, nine hundred thirty-eight thousand, six hundred forty".