161933040 has 160 divisors (see below), whose sum is σ = 567374400. Its totient is φ = 42439680.

The previous prime is 161933033. The next prime is 161933077. The reversal of 161933040 is 40339161.

161933040 is a `hidden beast` number, since 1 + 619 + 3 + 3 + 0 + 40 = 666.

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 = 161932995 and 161933013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131146 + ... + 132374.

It is an arithmetic number, because the mean of its divisors is an integer number (3546090).

Almost surely, 2^161933040 is an apocalyptic number.

161933040 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 161933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283687200).

161933040 is an abundant number, since it is smaller than the sum of its proper divisors (405441360).

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

161933040 is a wasteful number, since it uses less digits than its factorization.

161933040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

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

The square root of 161933040 is about 12725.2913522638. The cubic root of 161933040 is about 545.0610598479.

The spelling of 161933040 in words is "one hundred sixty-one million, nine hundred thirty-three thousand, forty".