33064900 has 36 divisors (see below), whose sum is σ = 78276240. Its totient is φ = 12023200.

The previous prime is 33064873. The next prime is 33064907. The reversal of 33064900 is 946033.

It is a super-2 number, since 2×33064900² = 2186575224020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33064907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13930 + ... + 16129.

It is an arithmetic number, because the mean of its divisors is an integer number (2174340).

Almost surely, 2^33064900 is an apocalyptic number.

It is an amenable number.

33064900 is an abundant number, since it is smaller than the sum of its proper divisors (45211340).

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

33064900 is a wasteful number, since it uses less digits than its factorization.

33064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30084 (or 30077 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 33064900 is about 5750.2086918650. The cubic root of 33064900 is about 320.9635670002.

The spelling of 33064900 in words is "thirty-three million, sixty-four thousand, nine hundred".