33664680 has 256 divisors, whose sum is σ = 132134400. Its totient is φ = 7464960.

The previous prime is 33664669. The next prime is 33664681. The reversal of 33664680 is 8646633.

33664680 is a `hidden beast` number, since 3 + 3 + 6 + 646 + 8 + 0 = 666.

It is a super-2 number, since 2×33664680² = 2266621359004800, which contains 22 as substring.

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 (33664681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461124 + ... + 461196.

It is an arithmetic number, because the mean of its divisors is an integer number (516150).

Almost surely, 2^33664680 is an apocalyptic number.

33664680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067200).

33664680 is an abundant number, since it is smaller than the sum of its proper divisors (98469720).

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

33664680 is a wasteful number, since it uses less digits than its factorization.

33664680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 33664680 is about 5802.1271961238. The cubic root of 33664680 is about 322.8926531617.

The spelling of 33664680 in words is "thirty-three million, six hundred sixty-four thousand, six hundred eighty".