180058720 has 96 divisors (see below), whose sum is σ = 448846272. Its totient is φ = 68124672.

The previous prime is 180058699. The next prime is 180058721. The reversal of 180058720 is 27850081.

It is a super-2 number, since 2×180058720² = 64842285296076800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180058721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415624 + ... + 416056.

It is an arithmetic number, because the mean of its divisors is an integer number (4675482).

Almost surely, 2^180058720 is an apocalyptic number.

180058720 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 180058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

180058720 is an abundant number, since it is smaller than the sum of its proper divisors (268787552).

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

180058720 is a wasteful number, since it uses less digits than its factorization.

180058720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 180058720 is about 13418.5960517485. The cubic root of 180058720 is about 564.6830080263.

The spelling of 180058720 in words is "one hundred eighty million, fifty-eight thousand, seven hundred twenty".