33040320 has 112 divisors (see below), whose sum is σ = 106119168. Its totient is φ = 8709120.

The previous prime is 33040307. The next prime is 33040321. The reversal of 33040320 is 2304033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33040320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33040321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121785 + ... + 122055.

Almost surely, 2^33040320 is an apocalyptic number.

33040320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53059584).

33040320 is an abundant number, since it is smaller than the sum of its proper divisors (73078848).

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

33040320 is a wasteful number, since it uses less digits than its factorization.

33040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 33040320 is about 5748.0709807726. The cubic root of 33040320 is about 320.8840139574.

Adding to 33040320 its reverse (2304033), we get a palindrome (35344353).

The spelling of 33040320 in words is "thirty-three million, forty thousand, three hundred twenty".