161084880 has 270 divisors, whose sum is σ = 608777442. Its totient is φ = 38142720.

The previous prime is 161084873. The next prime is 161084881. The reversal of 161084880 is 88480161.

It can be written as a sum of positive squares in only one way, i.e., 128867904 + 32216976 = 11352^2 + 5676^2 .

It is a super-2 number, since 2×161084880² = 51896677129228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161084881) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3746139 + ... + 3746181.

Almost surely, 2^161084880 is an apocalyptic number.

161084880 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 161084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304388721).

161084880 is an abundant number, since it is smaller than the sum of its proper divisors (447692562).

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

161084880 is a wasteful number, since it uses less digits than its factorization.

161084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 161084880 is about 12691.9218402888. The cubic root of 161084880 is about 544.1077677211.

The spelling of 161084880 in words is "one hundred sixty-one million, eighty-four thousand, eight hundred eighty".