33418968 has 64 divisors (see below), whose sum is σ = 92102400. Its totient is φ = 10020480.

The previous prime is 33418963. The next prime is 33418969. The reversal of 33418968 is 86981433.

It is a happy number.

It is a super-2 number, since 2×33418968² = 2233654844370048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33418963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26578 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 2^33418968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051200).

33418968 is an abundant number, since it is smaller than the sum of its proper divisors (58683432).

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

33418968 is a wasteful number, since it uses less digits than its factorization.

33418968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 33418968 is about 5780.9141145670. The cubic root of 33418968 is about 322.1051570696.

The spelling of 33418968 in words is "thirty-three million, four hundred eighteen thousand, nine hundred sixty-eight".