180842220 has 240 divisors, whose sum is σ = 632932608. Its totient is φ = 42923520.

The previous prime is 180842159. The next prime is 180842239. The reversal of 180842220 is 22248081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 652722 + ... + 652998.

Almost surely, 2^180842220 is an apocalyptic number.

180842220 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 180842220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316466304).

180842220 is an abundant number, since it is smaller than the sum of its proper divisors (452090388).

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

180842220 is a wasteful number, since it uses less digits than its factorization.

180842220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 180842220 is about 13447.7589210991. The cubic root of 180842220 is about 565.5008689276.

The spelling of 180842220 in words is "one hundred eighty million, eight hundred forty-two thousand, two hundred twenty".