161353920 has 224 divisors, whose sum is σ = 630862848. Its totient is φ = 34025472.

The previous prime is 161353891. The next prime is 161353937. The reversal of 161353920 is 29353161.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 86437 + ... + 88283.

It is an arithmetic number, because the mean of its divisors is an integer number (2816352).

Almost surely, 2^161353920 is an apocalyptic number.

161353920 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 161353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315431424).

161353920 is an abundant number, since it is smaller than the sum of its proper divisors (469508928).

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

161353920 is a wasteful number, since it uses less digits than its factorization.

161353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 161353920 is about 12702.5162861537. The cubic root of 161353920 is about 544.4105177002.

The spelling of 161353920 in words is "one hundred sixty-one million, three hundred fifty-three thousand, nine hundred twenty".