335633664 has 72 divisors (see below), whose sum is σ = 932162112. Its totient is φ = 107008000.

The previous prime is 335633647. The next prime is 335633671. The reversal of 335633664 is 466336533.

It is a super-2 number, since 2×335633664² = 225299912820129792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8164 + ... + 27164.

It is an arithmetic number, because the mean of its divisors is an integer number (12946696).

Almost surely, 2^335633664 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 335633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466081056).

335633664 is an abundant number, since it is smaller than the sum of its proper divisors (596528448).

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

335633664 is a wasteful number, since it uses less digits than its factorization.

335633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19043 (or 19029 counting only the distinct ones).

The product of its digits is 349920, while the sum is 39.

The square root of 335633664 is about 18320.3074210014. The cubic root of 335633664 is about 694.9525796191.

The spelling of 335633664 in words is "three hundred thirty-five million, six hundred thirty-three thousand, six hundred sixty-four".