180709960 has 64 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 70080000.

The previous prime is 180709957. The next prime is 180710021. The reversal of 180709960 is 69907081.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411421 + ... + 411859.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2^180709960 is an apocalyptic number.

180709960 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 180709960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

180709960 is an abundant number, since it is smaller than the sum of its proper divisors (238416440).

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

180709960 is a wasteful number, since it uses less digits than its factorization.

180709960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 180709960 is about 13442.8404736499. The cubic root of 180709960 is about 565.3629745321.

The spelling of 180709960 in words is "one hundred eighty million, seven hundred nine thousand, nine hundred sixty".