161938320 has 160 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 40814592.

The previous prime is 161938313. The next prime is 161938367. The reversal of 161938320 is 23839161.

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, 368661 + ... + 369099.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^161938320 is an apocalyptic number.

161938320 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 161938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

161938320 is an abundant number, since it is smaller than the sum of its proper divisors (368384880).

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

161938320 is a wasteful number, since it uses less digits than its factorization.

161938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 161938320 is about 12725.4988114415. The cubic root of 161938320 is about 545.0669838832.

The spelling of 161938320 in words is "one hundred sixty-one million, nine hundred thirty-eight thousand, three hundred twenty".