33920320 has 112 divisors (see below), whose sum is σ = 97292160. Its totient is φ = 11003904.

The previous prime is 33920311. The next prime is 33920347. The reversal of 33920320 is 2302933.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 33920291 and 33920300.

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, 42162 + ... + 42958.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 2^33920320 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 33920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

33920320 is an abundant number, since it is smaller than the sum of its proper divisors (63371840).

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

33920320 is a wasteful number, since it uses less digits than its factorization.

33920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 33920320 is about 5824.1153834724. The cubic root of 33920320 is about 323.7079113257.

The spelling of 33920320 in words is "thirty-three million, nine hundred twenty thousand, three hundred twenty".