33331968 has 216 divisors, whose sum is σ = 109051488. Its totient is φ = 9732096.

The previous prime is 33331967. The next prime is 33331979. The reversal of 33331968 is 86913333.

33331968 is a `hidden beast` number, since 333 + 319 + 6 + 8 = 666.

It is a super-2 number, since 2×33331968² = 2222040181506048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33331967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900846 + ... + 900882.

It is an arithmetic number, because the mean of its divisors is an integer number (504868).

Almost surely, 2^33331968 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 33331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525744).

33331968 is an abundant number, since it is smaller than the sum of its proper divisors (75719520).

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

33331968 is a wasteful number, since it uses less digits than its factorization.

33331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

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

The square root of 33331968 is about 5773.3844493503. The cubic root of 33331968 is about 321.8254007591.

The spelling of 33331968 in words is "thirty-three million, three hundred thirty-one thousand, nine hundred sixty-eight".