163931040 has 480 divisors, whose sum is σ = 717171840. Its totient is φ = 34338816.

The previous prime is 163931011. The next prime is 163931071. The reversal of 163931040 is 40139361.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 163930995 and 163931013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179291 + ... + 1179429.

It is an arithmetic number, because the mean of its divisors is an integer number (1494108).

Almost surely, 2^163931040 is an apocalyptic number.

163931040 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 163931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

163931040 is an abundant number, since it is smaller than the sum of its proper divisors (553240800).

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

163931040 is a wasteful number, since it uses less digits than its factorization.

163931040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 163931040 is about 12803.5557561171. Note that the first 3 decimals coincide. The cubic root of 163931040 is about 547.2936358692.

The spelling of 163931040 in words is "one hundred sixty-three million, nine hundred thirty-one thousand, forty".