359585856 has 168 divisors, whose sum is σ = 1190938944. Its totient is φ = 101606400.

The previous prime is 359585843. The next prime is 359585857. The reversal of 359585856 is 658585953.

359585856 is a `hidden beast` number, since 3 + 5 + 9 + 58 + 585 + 6 = 666.

359585856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (359585857) 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 23 ways as a sum of consecutive naturals, for example, 406791 + ... + 407673.

Almost surely, 2^359585856 is an apocalyptic number.

359585856 is a gapful number since it is divisible by the number (36) 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 359585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595469472).

359585856 is an abundant number, since it is smaller than the sum of its proper divisors (831353088).

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

359585856 is a wasteful number, since it uses less digits than its factorization.

359585856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The square root of 359585856 is about 18962.7491677763. The cubic root of 359585856 is about 711.1057662214.

It can be divided in two parts, 35958 and 5856, that added together give a palindrome (41814).

The spelling of 359585856 in words is "three hundred fifty-nine million, five hundred eighty-five thousand, eight hundred fifty-six".