33768864 has 72 divisors (see below), whose sum is σ = 98656740. Its totient is φ = 10948608.

The previous prime is 33768857. The next prime is 33768869. The reversal of 33768864 is 46886733.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 5253264 = 5340^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33768864² = 2280672351700992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33768869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9072 + ... + 12240.

Almost surely, 2^33768864 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 33768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49328370).

33768864 is an abundant number, since it is smaller than the sum of its proper divisors (64887876).

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

33768864 is a wasteful number, since it uses less digits than its factorization.

33768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3211 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 33768864 is about 5811.0983471285. The cubic root of 33768864 is about 323.2254015587.

The spelling of 33768864 in words is "thirty-three million, seven hundred sixty-eight thousand, eight hundred sixty-four".