180274680 has 128 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 47376000.

The previous prime is 180274669. The next prime is 180274687. The reversal of 180274680 is 86472081.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180274687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75505 + ... + 77855.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^180274680 is an apocalyptic number.

180274680 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 180274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

180274680 is an abundant number, since it is smaller than the sum of its proper divisors (429363720).

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

180274680 is a wasteful number, since it uses less digits than its factorization.

180274680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 180274680 is about 13426.6406818683. The cubic root of 180274680 is about 564.9086755572.

The spelling of 180274680 in words is "one hundred eighty million, two hundred seventy-four thousand, six hundred eighty".