351664 has 20 divisors (see below), whose sum is σ = 704320. Its totient is φ = 169920.

The previous prime is 351661. The next prime is 351667. The reversal of 351664 is 466153.

It is an interprime number because it is at equal distance from previous prime (351661) and next prime (351667).

351664 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (351661) 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, 142 + ... + 850.

It is an arithmetic number, because the mean of its divisors is an integer number (35216).

2³⁵¹⁶⁶⁴ 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 351664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352160).

351664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

351664 is a wasteful number, since it uses less digits than its factorization.

351664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 351664 is about 593.0126474199. The cubic root of 351664 is about 70.5844937015.

The spelling of 351664 in words is "three hundred fifty-one thousand, six hundred sixty-four".