161792000 has 120 divisors (see below), whose sum is σ = 408932160. Its totient is φ = 63897600.

The previous prime is 161791999. The next prime is 161792003. The reversal of 161792000 is 297161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161792003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047961 + ... + 2048039.

It is an arithmetic number, because the mean of its divisors is an integer number (3407768).

Almost surely, 2^161792000 is an apocalyptic number.

161792000 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 161792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204466080).

161792000 is an abundant number, since it is smaller than the sum of its proper divisors (247140160).

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

161792000 is an frugal number, since it uses more digits than its factorization.

161792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 161792000 is about 12719.7484251851. The cubic root of 161792000 is about 544.9027686151.

The spelling of 161792000 in words is "one hundred sixty-one million, seven hundred ninety-two thousand".