180273680 has 80 divisors (see below), whose sum is σ = 436353024. Its totient is φ = 69189120.

The previous prime is 180273677. The next prime is 180273713. The reversal of 180273680 is 86372081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 180273680.

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, 389129 + ... + 389591.

Almost surely, 2^180273680 is an apocalyptic number.

180273680 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 180273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218176512).

180273680 is an abundant number, since it is smaller than the sum of its proper divisors (256079344).

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

180273680 is a wasteful number, since it uses less digits than its factorization.

180273680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 180273680 is about 13426.6034424198. The cubic root of 180273680 is about 564.9076310220.

The spelling of 180273680 in words is "one hundred eighty million, two hundred seventy-three thousand, six hundred eighty".