33666864 has 80 divisors (see below), whose sum is σ = 108445440. Its totient is φ = 8743680.

The previous prime is 33666859. The next prime is 33666901. The reversal of 33666864 is 46866633.

It is a super-2 number, since 2×33666864² = 2266915463188992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859 + ... + 8250.

It is an arithmetic number, because the mean of its divisors is an integer number (1355568).

Almost surely, 2^33666864 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 33666864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54222720).

33666864 is an abundant number, since it is smaller than the sum of its proper divisors (74778576).

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

33666864 is a wasteful number, since it uses less digits than its factorization.

33666864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9132 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 33666864 is about 5802.3153999072. The cubic root of 33666864 is about 322.8996355767.

The spelling of 33666864 in words is "thirty-three million, six hundred sixty-six thousand, eight hundred sixty-four".