180993120 has 384 divisors, whose sum is σ = 731566080. Its totient is φ = 36526080.

The previous prime is 180993079. The next prime is 180993133. The reversal of 180993120 is 21399081.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2180599 + ... + 2180681.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^180993120 is an apocalyptic number.

180993120 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 180993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

180993120 is an abundant number, since it is smaller than the sum of its proper divisors (550572960).

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

180993120 is a wasteful number, since it uses less digits than its factorization.

180993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 180993120 is about 13453.3683514576. The cubic root of 180993120 is about 565.6581153144.

The spelling of 180993120 in words is "one hundred eighty million, nine hundred ninety-three thousand, one hundred twenty".