33116960 has 48 divisors (see below), whose sum is σ = 78636096. Its totient is φ = 13179648.

The previous prime is 33116953. The next prime is 33117041. The reversal of 33116960 is 6961133.

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, 41687 + ... + 42473.

It is an arithmetic number, because the mean of its divisors is an integer number (1638252).

Almost surely, 2^33116960 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 33116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39318048).

33116960 is an abundant number, since it is smaller than the sum of its proper divisors (45519136).

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

33116960 is a wasteful number, since it uses less digits than its factorization.

33116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 33116960 is about 5754.7337036565. The cubic root of 33116960 is about 321.1319288325.

The spelling of 33116960 in words is "thirty-three million, one hundred sixteen thousand, nine hundred sixty".