333864768 has 112 divisors (see below), whose sum is σ = 941466240. Its totient is φ = 104054784.

The previous prime is 333864749. The next prime is 333864781. The reversal of 333864768 is 867468333.

It is a super-2 number, since 2×333864768² = 222931366623387648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760293 + ... + 760731.

Almost surely, 2^333864768 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 333864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470733120).

333864768 is an abundant number, since it is smaller than the sum of its proper divisors (607601472).

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

333864768 is a wasteful number, since it uses less digits than its factorization.

333864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 333864768 is about 18271.9667250135. The cubic root of 333864768 is about 693.7295549206.

The spelling of 333864768 in words is "three hundred thirty-three million, eight hundred sixty-four thousand, seven hundred sixty-eight".