33240960 has 192 divisors, whose sum is σ = 119340000. Its totient is φ = 8515584.

The previous prime is 33240947. The next prime is 33240971. The reversal of 33240960 is 6904233.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33240960² = 2209922843443200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166941 + ... + 167139.

Almost surely, 2^33240960 is an apocalyptic number.

33240960 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 33240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59670000).

33240960 is an abundant number, since it is smaller than the sum of its proper divisors (86099040).

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

33240960 is a wasteful number, since it uses less digits than its factorization.

33240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33240960 is about 5765.4973766363. The cubic root of 33240960 is about 321.5322349238.

The spelling of 33240960 in words is "thirty-three million, two hundred forty thousand, nine hundred sixty".