163313920 has 144 divisors (see below), whose sum is σ = 488009088. Its totient is φ = 50872320.

The previous prime is 163313879. The next prime is 163313929. The reversal of 163313920 is 29313361.

163313920 is digitally balanced in base 2 and base 3, because in such bases 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163313929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97732 + ... + 99388.

It is an arithmetic number, because the mean of its divisors is an integer number (3388952).

Almost surely, 2^163313920 is an apocalyptic number.

163313920 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 163313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244004544).

163313920 is an abundant number, since it is smaller than the sum of its proper divisors (324695168).

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

163313920 is a wasteful number, since it uses less digits than its factorization.

163313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 163313920 is about 12779.4334772712. The cubic root of 163313920 is about 546.6060082077.

The spelling of 163313920 in words is "one hundred sixty-three million, three hundred thirteen thousand, nine hundred twenty".