359959680 has 256 divisors, whose sum is σ = 1311638400. Its totient is φ = 93229056.

The previous prime is 359959669. The next prime is 359959723. The reversal of 359959680 is 86959953.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 639079 + ... + 639641.

Almost surely, 2^359959680 is an apocalyptic number.

359959680 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 359959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655819200).

359959680 is an abundant number, since it is smaller than the sum of its proper divisors (951678720).

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

359959680 is a wasteful number, since it uses less digits than its factorization.

359959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 359959680 is about 18972.6034059641. The cubic root of 359959680 is about 711.3521017698.

The spelling of 359959680 in words is "three hundred fifty-nine million, nine hundred fifty-nine thousand, six hundred eighty".