180536400 has 360 divisors, whose sum is σ = 705204864. Its totient is φ = 42393600.

The previous prime is 180536381. The next prime is 180536417. The reversal of 180536400 is 4635081.

180536400 is a `hidden beast` number, since 18 + 0 + 5 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1861152 + ... + 1861248.

Almost surely, 2^180536400 is an apocalyptic number.

180536400 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 180536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432).

180536400 is an abundant number, since it is smaller than the sum of its proper divisors (524668464).

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

180536400 is a wasteful number, since it uses less digits than its factorization.

180536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 180536400 is about 13436.3834419832. The cubic root of 180536400 is about 565.1819186039.

The spelling of 180536400 in words is "one hundred eighty million, five hundred thirty-six thousand, four hundred".