33360960 has 224 divisors, whose sum is σ = 117043200. Its totient is φ = 8017920.

The previous prime is 33360959. The next prime is 33360997. The reversal of 33360960 is 6906333.

It is a super-2 number, since 2×33360960² = 2225907304243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565411 + ... + 565469.

Almost surely, 2^33360960 is an apocalyptic number.

33360960 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 33360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521600).

33360960 is an abundant number, since it is smaller than the sum of its proper divisors (83682240).

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

33360960 is a wasteful number, since it uses less digits than its factorization.

33360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 33360960 is about 5775.8947358829. The cubic root of 33360960 is about 321.9186811614.

The spelling of 33360960 in words is "thirty-three million, three hundred sixty thousand, nine hundred sixty".