161371080 has 288 divisors, whose sum is σ = 599213160. Its totient is φ = 37416960.

The previous prime is 161371079. The next prime is 161371081. The reversal of 161371080 is 80173161.

161371080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161371079) and next prime (161371081).

It can be written as a sum of positive squares in 12 ways, for example, as 2762244 + 158608836 = 1662^2 + 12594^2 .

It is not an unprimeable number, because it can be changed into a prime (161371081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3935860 + ... + 3935900.

Almost surely, 2^161371080 is an apocalyptic number.

161371080 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 161371080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299606580).

161371080 is an abundant number, since it is smaller than the sum of its proper divisors (437842080).

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

161371080 is a wasteful number, since it uses less digits than its factorization.

161371080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 161371080 is about 12703.1917249170. The cubic root of 161371080 is about 544.4298163809.

The spelling of 161371080 in words is "one hundred sixty-one million, three hundred seventy-one thousand, eighty".