359901664 has 48 divisors (see below), whose sum is σ = 731874528. Its totient is φ = 174085632.

The previous prime is 359901613. The next prime is 359901697. The reversal of 359901664 is 466109953.

It is a super-3 number, since 3×359901664³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 359901664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232477 + ... + 234019.

It is an arithmetic number, because the mean of its divisors is an integer number (15247386).

Almost surely, 2^359901664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365937264).

359901664 is an abundant number, since it is smaller than the sum of its proper divisors (371972864).

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

359901664 is a wasteful number, since it uses less digits than its factorization.

359901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 359901664 is about 18971.0744028903. The cubic root of 359901664 is about 711.3138826550.

The spelling of 359901664 in words is "three hundred fifty-nine million, nine hundred one thousand, six hundred sixty-four".