161338560 has 112 divisors (see below), whose sum is σ = 534594816. Its totient is φ = 41147392.

The previous prime is 161338547. The next prime is 161338561. The reversal of 161338560 is 65833161.

It is not an unprimeable number, because it can be changed into a prime (161338561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18427 + ... + 25733.

It is an arithmetic number, because the mean of its divisors is an integer number (4773168).

Almost surely, 2^161338560 is an apocalyptic number.

161338560 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 161338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267297408).

161338560 is an abundant number, since it is smaller than the sum of its proper divisors (373256256).

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

161338560 is a wasteful number, since it uses less digits than its factorization.

161338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 161338560 is about 12701.9116671468. The cubic root of 161338560 is about 544.3932421961.

The spelling of 161338560 in words is "one hundred sixty-one million, three hundred thirty-eight thousand, five hundred sixty".