33720864 has 24 divisors (see below), whose sum is σ = 88517520. Its totient is φ = 11240256.

The previous prime is 33720857. The next prime is 33720871. The reversal of 33720864 is 46802733.

It is an interprime number because it is at equal distance from previous prime (33720857) and next prime (33720871).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33720864² = 2274193337812992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175534 + ... + 175725.

It is an arithmetic number, because the mean of its divisors is an integer number (3688230).

Almost surely, 2^33720864 is an apocalyptic number.

It is an amenable number.

33720864 is an abundant number, since it is smaller than the sum of its proper divisors (54796656).

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

33720864 is a wasteful number, since it uses less digits than its factorization.

33720864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351272 (or 351264 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 33720864 is about 5806.9668502584. The cubic root of 33720864 is about 323.0721817549.

The spelling of 33720864 in words is "thirty-three million, seven hundred twenty thousand, eight hundred sixty-four".