352664 has 16 divisors (see below), whose sum is σ = 712320. Its totient is φ = 162720.

The previous prime is 352661. The next prime is 352691. The reversal of 352664 is 466253.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 3⁸ + 5⁵ + 6⁶ + 2 + 6⁷ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1592 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (44520).

2³⁵²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

352664 is an abundant number, since it is smaller than the sum of its proper divisors (359656).

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

352664 is a wasteful number, since it uses less digits than its factorization.

352664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3406 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 352664 is about 593.8552012065. The cubic root of 352664 is about 70.6513356244.

The spelling of 352664 in words is "three hundred fifty-two thousand, six hundred sixty-four".