163031040 has 288 divisors, whose sum is σ = 594102600. Its totient is φ = 41287680.

The previous prime is 163031027. The next prime is 163031041. The reversal of 163031040 is 40130361.

163031040 is a `hidden beast` number, since 1 + 630 + 31 + 0 + 4 + 0 = 666.

163031040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86713344 + 76317696 = 9312^2 + 8736^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (163031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672610 + ... + 2672670.

Almost surely, 2^163031040 is an apocalyptic number.

163031040 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 163031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297051300).

163031040 is an abundant number, since it is smaller than the sum of its proper divisors (431071560).

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

163031040 is a wasteful number, since it uses less digits than its factorization.

163031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 163031040 is about 12768.3608971551. The cubic root of 163031040 is about 546.2902293087.

The spelling of 163031040 in words is "one hundred sixty-three million, thirty-one thousand, forty".