161957520 has 120 divisors (see below), whose sum is σ = 572582400. Its totient is φ = 40912128.

The previous prime is 161957507. The next prime is 161957531. The reversal of 161957520 is 25759161.

161957520 = T₁₄₈₁ + T₁₄₈₂ + ... + T₁₆₁₅.

161957520 is a `hidden beast` number, since 1 + 61 + 9 + 575 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7761 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (4771520).

Almost surely, 2^161957520 is an apocalyptic number.

161957520 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 161957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286291200).

161957520 is an abundant number, since it is smaller than the sum of its proper divisors (410624880).

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

161957520 is a wasteful number, since it uses less digits than its factorization.

161957520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 161957520 is about 12726.2531799426. The cubic root of 161957520 is about 545.0885247442.

The spelling of 161957520 in words is "one hundred sixty-one million, nine hundred fifty-seven thousand, five hundred twenty".