33942960 has 60 divisors (see below), whose sum is σ = 113994192. Its totient is φ = 9051264.

The previous prime is 33942959. The next prime is 33942967. The reversal of 33942960 is 6924933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33942967) 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, 22852 + ... + 24291.

Almost surely, 2^33942960 is an apocalyptic number.

33942960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33942960 is an abundant number, since it is smaller than the sum of its proper divisors (80051232).

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

33942960 is a wasteful number, since it uses less digits than its factorization.

33942960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47162 (or 47153 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 33942960 is about 5826.0587020730. The cubic root of 33942960 is about 323.7799145497.

The spelling of 33942960 in words is "thirty-three million, nine hundred forty-two thousand, nine hundred sixty".