180354720 has 192 divisors, whose sum is σ = 699390720. Its totient is φ = 38043648.

The previous prime is 180354703. The next prime is 180354721. The reversal of 180354720 is 27453081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (180354721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41616 + ... + 45744.

It is an arithmetic number, because the mean of its divisors is an integer number (3642660).

Almost surely, 2^180354720 is an apocalyptic number.

180354720 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 180354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349695360).

180354720 is an abundant number, since it is smaller than the sum of its proper divisors (519036000).

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

180354720 is a wasteful number, since it uses less digits than its factorization.

180354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 180354720 is about 13429.6209924182. The cubic root of 180354720 is about 564.9922676259.

The spelling of 180354720 in words is "one hundred eighty million, three hundred fifty-four thousand, seven hundred twenty".