161314560 has 432 divisors, whose sum is σ = 650482560. Its totient is φ = 36495360.

The previous prime is 161314553. The next prime is 161314577. The reversal of 161314560 is 65413161.

161314560 = 286² + 287² + ... + 797².

161314560 is a `hidden beast` number, since 1 + 613 + 1 + 45 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2407647 + ... + 2407713.

Almost surely, 2^161314560 is an apocalyptic number.

161314560 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 161314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325241280).

161314560 is an abundant number, since it is smaller than the sum of its proper divisors (489168000).

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

161314560 is a wasteful number, since it uses less digits than its factorization.

161314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 161314560 is about 12700.9668923275. The cubic root of 161314560 is about 544.3662470258.

It can be divided in two parts, 161 and 314560, that added together give a square (314721 = 561²).

The spelling of 161314560 in words is "one hundred sixty-one million, three hundred fourteen thousand, five hundred sixty".