33993920 has 56 divisors (see below), whose sum is σ = 82954368. Its totient is φ = 13260800.

The previous prime is 33993917. The next prime is 33993929. The reversal of 33993920 is 2939933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33993929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11825 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (1481328).

Almost surely, 2^33993920 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 33993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184).

33993920 is an abundant number, since it is smaller than the sum of its proper divisors (48960448).

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

33993920 is a wasteful number, since it uses less digits than its factorization.

33993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 38.

The square root of 33993920 is about 5830.4305158367. The cubic root of 33993920 is about 323.9418683494.

The spelling of 33993920 in words is "thirty-three million, nine hundred ninety-three thousand, nine hundred twenty".