180486720 has 168 divisors, whose sum is σ = 642503160. Its totient is φ = 46448640.

The previous prime is 180486707. The next prime is 180486763. The reversal of 180486720 is 27684081.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 153363456 = 5208^2 + 12384^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82440 + ... + 84600.

Almost surely, 2^180486720 is an apocalyptic number.

180486720 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 180486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321251580).

180486720 is an abundant number, since it is smaller than the sum of its proper divisors (462016440).

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

180486720 is a wasteful number, since it uses less digits than its factorization.

180486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

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

The square root of 180486720 is about 13434.5346030296. The cubic root of 180486720 is about 565.1300716013.

It can be divided in two parts, 180 and 486720, that multiplied together give a square (87609600 = 9360²).

The spelling of 180486720 in words is "one hundred eighty million, four hundred eighty-six thousand, seven hundred twenty".