356664 has 64 divisors (see below), whose sum is σ = 1117440. Its totient is φ = 92160.

The previous prime is 356663. The next prime is 356693. The reversal of 356664 is 466653.

Its product of digits (12960) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752 + ... + 1944.

It is an arithmetic number, because the mean of its divisors is an integer number (17460).

2³⁵⁶⁶⁶⁴ 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 356664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558720).

356664 is an abundant number, since it is smaller than the sum of its proper divisors (760776).

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

356664 is a wasteful number, since it uses less digits than its factorization.

356664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 356664 is about 597.2135296525. The cubic root of 356664 is about 70.9174468666.

The spelling of 356664 in words is "three hundred fifty-six thousand, six hundred sixty-four".