33330864 has 160 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 8591616.

The previous prime is 33330839. The next prime is 33330893. The reversal of 33330864 is 46803333.

It is a super-2 number, since 2×33330864² = 2221892989972992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146719 + ... + 146945.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^33330864 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 33330864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

33330864 is an abundant number, since it is smaller than the sum of its proper divisors (75233616).

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

33330864 is a wasteful number, since it uses less digits than its factorization.

33330864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 33330864 is about 5773.2888373959. The cubic root of 33330864 is about 321.8218476219.

The spelling of 33330864 in words is "thirty-three million, three hundred thirty thousand, eight hundred sixty-four".