360090720 has 288 divisors, whose sum is σ = 1358622720. Its totient is φ = 86123520.

The previous prime is 360090683. The next prime is 360090727. The reversal of 360090720 is 27090063.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360090727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011591 + ... + 2011769.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^360090720 is an apocalyptic number.

360090720 is a gapful number since it is divisible by the number (30) 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 360090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

360090720 is an abundant number, since it is smaller than the sum of its proper divisors (998532000).

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

360090720 is a wasteful number, since it uses less digits than its factorization.

360090720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 360090720 is about 18976.0564923274. The cubic root of 360090720 is about 711.4384116867.

The spelling of 360090720 in words is "three hundred sixty million, ninety thousand, seven hundred twenty".