353864 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 147840.

The previous prime is 353833. The next prime is 353867. The reversal of 353864 is 468353.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353864.

It is not an unprimeable number, because it can be changed into a prime (353867) by changing a digit.

353864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2³⁵³⁸⁶⁴ 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 353864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

353864 is an abundant number, since it is smaller than the sum of its proper divisors (423736).

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

353864 is a wasteful number, since it uses less digits than its factorization.

353864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 353864 is about 594.8646904969. The cubic root of 353864 is about 70.7313793514.

The spelling of 353864 in words is "three hundred fifty-three thousand, eight hundred sixty-four".