161650080 has 120 divisors (see below), whose sum is σ = 570535812. Its totient is φ = 43103232.

The previous prime is 161650079. The next prime is 161650121. The reversal of 161650080 is 80056161.

161650080 is a `hidden beast` number, since 1 + 6 + 1 + 650 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161493264 + 156816 = 12708^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×161650080² = 52261496728012800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6724 + ... + 19196.

Almost surely, 2^161650080 is an apocalyptic number.

161650080 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 161650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285267906).

161650080 is an abundant number, since it is smaller than the sum of its proper divisors (408885732).

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

161650080 is a wasteful number, since it uses less digits than its factorization.

161650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 161650080 is about 12714.1684745798. The cubic root of 161650080 is about 544.7433968634.

The spelling of 161650080 in words is "one hundred sixty-one million, six hundred fifty thousand, eighty".