180956160 has 704 divisors, whose sum is σ = 848931840. Its totient is φ = 35389440.

The previous prime is 180956147. The next prime is 180956161. The reversal of 180956160 is 61659081.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is not an unprimeable number, because it can be changed into a prime (180956161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644472 + ... + 10644488.

Almost surely, 2^180956160 is an apocalyptic number.

180956160 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 180956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

180956160 is an abundant number, since it is smaller than the sum of its proper divisors (667975680).

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

180956160 is a wasteful number, since it uses less digits than its factorization.

180956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 180956160 is about 13451.9946476350. The cubic root of 180956160 is about 565.6196089756.

The spelling of 180956160 in words is "one hundred eighty million, nine hundred fifty-six thousand, one hundred sixty".