33668976 has 160 divisors (see below), whose sum is σ = 104564736. Its totient is φ = 9292800.

The previous prime is 33668953. The next prime is 33668977. The reversal of 33668976 is 67986633.

It is a happy number.

It is a super-2 number, since 2×33668976² = 2267199889777152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (979776) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086081 + ... + 1086111.

Almost surely, 2^33668976 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 33668976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52282368).

33668976 is an abundant number, since it is smaller than the sum of its proper divisors (70895760).

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

33668976 is a wasteful number, since it uses less digits than its factorization.

33668976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 33668976 is about 5802.4973933643. The cubic root of 33668976 is about 322.9063875151.

The spelling of 33668976 in words is "thirty-three million, six hundred sixty-eight thousand, nine hundred seventy-six".