33120960 has 56 divisors (see below), whose sum is σ = 105162096. Its totient is φ = 8832000.

The previous prime is 33120949. The next prime is 33120961. The reversal of 33120960 is 6902133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33120960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120961) 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, 16291 + ... + 18210.

Almost surely, 2^33120960 is an apocalyptic number.

33120960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33120960 is an abundant number, since it is smaller than the sum of its proper divisors (72041136).

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

33120960 is a wasteful number, since it uses less digits than its factorization.

33120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34521 (or 34511 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 33120960 is about 5755.0812331365. The cubic root of 33120960 is about 321.1448575152.

The spelling of 33120960 in words is "thirty-three million, one hundred twenty thousand, nine hundred sixty".