33420960 has 72 divisors (see below), whose sum is σ = 114053940. Its totient is φ = 8911872.

The previous prime is 33420949. The next prime is 33420967. The reversal of 33420960 is 6902433.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 104976 = 5772^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33420960² = 2233921134643200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33420967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10165 + ... + 13044.

Almost surely, 2^33420960 is an apocalyptic number.

33420960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33420960 is an abundant number, since it is smaller than the sum of its proper divisors (80632980).

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

33420960 is a wasteful number, since it uses less digits than its factorization.

33420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23230 (or 23219 counting only the distinct ones).

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

The square root of 33420960 is about 5781.0864030907. The cubic root of 33420960 is about 322.1115568356. Note that the first 3 decimals are identical.

The spelling of 33420960 in words is "thirty-three million, four hundred twenty thousand, nine hundred sixty".