33520480 has 72 divisors (see below), whose sum is σ = 91031472. Its totient is φ = 11426304.

The previous prime is 33520477. The next prime is 33520489. The reversal of 33520480 is 8402533.

It is a super-2 number, since 2×33520480² = 2247245158860800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33520489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193674 + ... + 193846.

It is an arithmetic number, because the mean of its divisors is an integer number (1264326).

Almost surely, 2^33520480 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 33520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45515736).

33520480 is an abundant number, since it is smaller than the sum of its proper divisors (57510992).

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

33520480 is an equidigital number, since it uses as much as digits as its factorization.

33520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 33520480 is about 5789.6873836158. The cubic root of 33520480 is about 322.4309649320.

The spelling of 33520480 in words is "thirty-three million, five hundred twenty thousand, four hundred eighty".