161893080 has 160 divisors (see below), whose sum is σ = 563230800. Its totient is φ = 41658624.

The previous prime is 161893009. The next prime is 161893087. The reversal of 161893080 is 80398161.

161893080 is a `hidden beast` number, since 1 + 618 + 9 + 30 + 8 + 0 = 666.

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 (161893087) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 93099 + ... + 94821.

Almost surely, 2^161893080 is an apocalyptic number.

161893080 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 161893080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281615400).

161893080 is an abundant number, since it is smaller than the sum of its proper divisors (401337720).

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

161893080 is a wasteful number, since it uses less digits than its factorization.

161893080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 161893080 is about 12723.7211538135. The cubic root of 161893080 is about 545.0162214962.

The spelling of 161893080 in words is "one hundred sixty-one million, eight hundred ninety-three thousand, eighty".