33666880 has 56 divisors (see below), whose sum is σ = 86346792. Its totient is φ = 12429312.

The previous prime is 33666859. The next prime is 33666901. The reversal of 33666880 is 8866633.

It is an interprime number because it is at equal distance from previous prime (33666859) and next prime (33666901).

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 33362176 = 552^2 + 5776^2 .

It is a super-2 number, since 2×33666880² = 2266917617868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 8206.

It is an arithmetic number, because the mean of its divisors is an integer number (1541907).

Almost surely, 2^33666880 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 33666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43173396).

33666880 is an abundant number, since it is smaller than the sum of its proper divisors (52679912).

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

33666880 is a wasteful number, since it uses less digits than its factorization.

33666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 33666880 is about 5802.3167786669. The cubic root of 33666880 is about 322.8996867288.

The spelling of 33666880 in words is "thirty-three million, six hundred sixty-six thousand, eight hundred eighty".