161736960 has 288 divisors, whose sum is σ = 645184512. Its totient is φ = 33546240.

The previous prime is 161736959. The next prime is 161736961. The reversal of 161736960 is 69637161.

It is an interprime number because it is at equal distance from previous prime (161736959) and next prime (161736961).

It is not an unprimeable number, because it can be changed into a prime (161736961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295407 + ... + 295953.

It is an arithmetic number, because the mean of its divisors is an integer number (2240224).

Almost surely, 2^161736960 is an apocalyptic number.

161736960 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 161736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322592256).

161736960 is an abundant number, since it is smaller than the sum of its proper divisors (483447552).

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

161736960 is a wasteful number, since it uses less digits than its factorization.

161736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 161736960 is about 12717.5846763448. The cubic root of 161736960 is about 544.8409714724.

The spelling of 161736960 in words is "one hundred sixty-one million, seven hundred thirty-six thousand, nine hundred sixty".