180096400 has 135 divisors (see below), whose sum is σ = 483516579. Its totient is φ = 64416000.

The previous prime is 180096377. The next prime is 180096401. The reversal of 180096400 is 4690081.

The square root of 180096400 is 13420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 82955664 + 97140736 = 9108^2 + 9856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180096401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2952370 + ... + 2952430.

Almost surely, 2^180096400 is an apocalyptic number.

180096400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180096400 is the 13420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180096400

180096400 is an abundant number, since it is smaller than the sum of its proper divisors (303420179).

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

180096400 is a wasteful number, since it uses less digits than its factorization.

180096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 180096400 is about 564.7223947548.

The spelling of 180096400 in words is "one hundred eighty million, ninety-six thousand, four hundred".