350664 has 32 divisors (see below), whose sum is σ = 924000. Its totient is φ = 110592.

The previous prime is 350663. The next prime is 350677. The reversal of 350664 is 466053.

350664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (28875).

2³⁵⁰⁶⁶⁴ 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 350664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462000).

350664 is an abundant number, since it is smaller than the sum of its proper divisors (573336).

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

350664 is a wasteful number, since it uses less digits than its factorization.

350664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 350664 is about 592.1688948265. The cubic root of 350664 is about 70.5175249426.

It can be divided in two parts, 3506 and 64, that added together give a triangular number (3570 = T₈₄).

The spelling of 350664 in words is "three hundred fifty thousand, six hundred sixty-four".