33668136 has 112 divisors (see below), whose sum is σ = 99156960. Its totient is φ = 10692000.

The previous prime is 33668087. The next prime is 33668137. The reversal of 33668136 is 63186633.

It is a super-2 number, since 2×33668136² = 2267086763428992, 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 a self number, because there is not a number n which added to its sum of digits gives 33668136.

It is not an unprimeable number, because it can be changed into a prime (33668137) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 134011 + ... + 134261.

It is an arithmetic number, because the mean of its divisors is an integer number (885330).

Almost surely, 2^33668136 is an apocalyptic number.

33668136 is a gapful number since it is divisible by the number (36) 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 33668136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49578480).

33668136 is an abundant number, since it is smaller than the sum of its proper divisors (65488824).

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

33668136 is a wasteful number, since it uses less digits than its factorization.

33668136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 33668136 is about 5802.4250102866. The cubic root of 33668136 is about 322.9037021189.

The spelling of 33668136 in words is "thirty-three million, six hundred sixty-eight thousand, one hundred thirty-six".