161956080 has 360 divisors, whose sum is σ = 647811216. Its totient is φ = 36241920.

The previous prime is 161956079. The next prime is 161956111. The reversal of 161956080 is 80659161.

161956080 is a `hidden beast` number, since 1 + 6 + 19 + 560 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12458154 + ... + 12458166.

Almost surely, 2^161956080 is an apocalyptic number.

161956080 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 161956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323905608).

161956080 is an abundant number, since it is smaller than the sum of its proper divisors (485855136).

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

161956080 is a wasteful number, since it uses less digits than its factorization.

161956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 161956080 is about 12726.1966038562. The cubic root of 161956080 is about 545.0869092387.

The spelling of 161956080 in words is "one hundred sixty-one million, nine hundred fifty-six thousand, eighty".