180013392 has 120 divisors (see below), whose sum is σ = 546709800. Its totient is φ = 55291392.

The previous prime is 180013381. The next prime is 180013397. The reversal of 180013392 is 293310081.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 92852496 = 9336^2 + 9636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180013397) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 316084 + ... + 316652.

It is an arithmetic number, because the mean of its divisors is an integer number (4555915).

Almost surely, 2^180013392 is an apocalyptic number.

180013392 is a gapful number since it is divisible by the number (12) 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 180013392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273354900).

180013392 is an abundant number, since it is smaller than the sum of its proper divisors (366696408).

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

180013392 is a wasteful number, since it uses less digits than its factorization.

180013392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 180013392 is about 13416.9069460886. The cubic root of 180013392 is about 564.6356195975.

The spelling of 180013392 in words is "one hundred eighty million, thirteen thousand, three hundred ninety-two".