180730368 has 240 divisors, whose sum is σ = 643458816. Its totient is φ = 47554560.

The previous prime is 180730339. The next prime is 180730391. The reversal of 180730368 is 863037081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419113 + ... + 419543.

Almost surely, 2^180730368 is an apocalyptic number.

180730368 is a gapful number since it is divisible by the number (18) 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 180730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

180730368 is an abundant number, since it is smaller than the sum of its proper divisors (462728448).

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

180730368 is a wasteful number, since it uses less digits than its factorization.

180730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180730368 is about 13443.5995179862. The cubic root of 180730368 is about 565.3842563203.

The spelling of 180730368 in words is "one hundred eighty million, seven hundred thirty thousand, three hundred sixty-eight".