33210864 has 80 divisors (see below), whose sum is σ = 97017600. Its totient is φ = 10874304.

The previous prime is 33210857. The next prime is 33210869. The reversal of 33210864 is 46801233.

It is a happy number.

It is a super-2 number, since 2×33210864² = 2205922975252992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33210869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24837 + ... + 26139.

It is an arithmetic number, because the mean of its divisors is an integer number (1212720).

Almost surely, 2^33210864 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 33210864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48508800).

33210864 is an abundant number, since it is smaller than the sum of its proper divisors (63806736).

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

33210864 is a wasteful number, since it uses less digits than its factorization.

33210864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33210864 is about 5762.8867766077. The cubic root of 33210864 is about 321.4351683725.

The spelling of 33210864 in words is "thirty-three million, two hundred ten thousand, eight hundred sixty-four".