161930880 has 128 divisors (see below), whose sum is σ = 573566400. Its totient is φ = 43176960.

The previous prime is 161930861. The next prime is 161930903. The reversal of 161930880 is 88039161.

161930880 is a `hidden beast` number, since 1 + 619 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12595 + ... + 21965.

Almost surely, 2^161930880 is an apocalyptic number.

161930880 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 161930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286783200).

161930880 is an abundant number, since it is smaller than the sum of its proper divisors (411635520).

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

161930880 is an equidigital number, since it uses as much as digits as its factorization.

161930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9399 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 161930880 is about 12725.2064816254. The cubic root of 161930880 is about 545.0586363418.

The spelling of 161930880 in words is "one hundred sixty-one million, nine hundred thirty thousand, eight hundred eighty".