33006960 has 320 divisors, whose sum is σ = 135705600. Its totient is φ = 7216128.

The previous prime is 33006907. The next prime is 33006983. The reversal of 33006960 is 6960033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559411 + ... + 559469.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^33006960 is an apocalyptic number.

33006960 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 33006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

33006960 is an abundant number, since it is smaller than the sum of its proper divisors (102698640).

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

33006960 is a wasteful number, since it uses less digits than its factorization.

33006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 33006960 is about 5745.1684048425. The cubic root of 33006960 is about 320.7759813528.

Adding to 33006960 its reverse (6960033), we get a palindrome (39966993).

The spelling of 33006960 in words is "thirty-three million, six thousand, nine hundred sixty".