359964 has 60 divisors (see below), whose sum is σ = 1036728. Its totient is φ = 108000.

The previous prime is 359929. The next prime is 359981. The reversal of 359964 is 469953.

359964 is a `hidden beast` number, since 3 + 599 + 64 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3514 + ... + 3614.

2³⁵⁹⁹⁶⁴ 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 359964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518364).

359964 is an abundant number, since it is smaller than the sum of its proper divisors (676764).

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

359964 is a wasteful number, since it uses less digits than its factorization.

359964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 359964 is about 599.9699992500. The cubic root of 359964 is about 71.1354947486.

Adding to 359964 its sum of digits (36), we get a square (360000 = 600²).

359964 divided by its sum of digits (36) gives a palindrome (9999).

It can be divided in two parts, 3599 and 64, that added together give a palindrome (3663).

The spelling of 359964 in words is "three hundred fifty-nine thousand, nine hundred sixty-four".