33504960 has 112 divisors (see below), whose sum is σ = 112690656. Its totient is φ = 8404992.

The previous prime is 33504941. The next prime is 33504983. The reversal of 33504960 is 6940533.

It is a happy number.

It is a super-2 number, since 2×33504960² = 2245164689203200, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15294 + ... + 17346.

Almost surely, 2^33504960 is an apocalyptic number.

33504960 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 33504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56345328).

33504960 is an abundant number, since it is smaller than the sum of its proper divisors (79185696).

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

33504960 is a wasteful number, since it uses less digits than its factorization.

33504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 33504960 is about 5788.3469142753. The cubic root of 33504960 is about 322.3811953476.

The spelling of 33504960 in words is "thirty-three million, five hundred four thousand, nine hundred sixty".