359631360 has 480 divisors, whose sum is σ = 1436783040. Its totient is φ = 85155840.

The previous prime is 359631359. The next prime is 359631367. The reversal of 359631360 is 63136953.

359631360 is a `hidden beast` number, since 3 + 596 + 3 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (359631367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8363499 + ... + 8363541.

It is an arithmetic number, because the mean of its divisors is an integer number (2993298).

Almost surely, 2^359631360 is an apocalyptic number.

359631360 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 359631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718391520).

359631360 is an abundant number, since it is smaller than the sum of its proper divisors (1077151680).

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

359631360 is a wasteful number, since it uses less digits than its factorization.

359631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 359631360 is about 18963.9489558478. The cubic root of 359631360 is about 711.1357607196.

The spelling of 359631360 in words is "three hundred fifty-nine million, six hundred thirty-one thousand, three hundred sixty".