180655056 has 120 divisors (see below), whose sum is σ = 551224640. Its totient is φ = 56636928.

The previous prime is 180655051. The next prime is 180655093. The reversal of 180655056 is 650556081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 180655056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180655051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124125 + ... + 125571.

Almost surely, 2^180655056 is an apocalyptic number.

180655056 is a gapful number since it is divisible by the number (16) 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 180655056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275612320).

180655056 is an abundant number, since it is smaller than the sum of its proper divisors (370569584).

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

180655056 is a wasteful number, since it uses less digits than its factorization.

180655056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 180655056 is about 13440.7981905838. The cubic root of 180655056 is about 565.3057118096.

The spelling of 180655056 in words is "one hundred eighty million, six hundred fifty-five thousand, fifty-six".