180557120 has 56 divisors (see below), whose sum is σ = 431148744. Its totient is φ = 72022016.

The previous prime is 180557099. The next prime is 180557123. The reversal of 180557120 is 21755081.

It can be written as a sum of positive squares in 4 ways, for example, as 14868736 + 165688384 = 3856^2 + 12872^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180557123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177734 + ... + 178746.

Almost surely, 2^180557120 is an apocalyptic number.

180557120 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 180557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215574372).

180557120 is an abundant number, since it is smaller than the sum of its proper divisors (250591624).

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

180557120 is a wasteful number, since it uses less digits than its factorization.

180557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 180557120 is about 13437.1544606736. The cubic root of 180557120 is about 565.2035395834.

The spelling of 180557120 in words is "one hundred eighty million, five hundred fifty-seven thousand, one hundred twenty".