161314080 has 192 divisors, whose sum is σ = 540546048. Its totient is φ = 40366080.

The previous prime is 161314067. The next prime is 161314103. The reversal of 161314080 is 80413161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 161314080.

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 31 ways as a sum of consecutive naturals, for example, 550414 + ... + 550706.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^161314080 is an apocalyptic number.

161314080 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 161314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

161314080 is an abundant number, since it is smaller than the sum of its proper divisors (379231968).

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

161314080 is a wasteful number, since it uses less digits than its factorization.

161314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 161314080 is about 12700.9479961143. The cubic root of 161314080 is about 544.3657070951.

The spelling of 161314080 in words is "one hundred sixty-one million, three hundred fourteen thousand, eighty".