33864560 has 20 divisors (see below), whose sum is σ = 78735288. Its totient is φ = 13545792.

The previous prime is 33864559. The next prime is 33864563. The reversal of 33864560 is 6546833.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33864560² = 2293616847987200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33864560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33864563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211574 + ... + 211733.

Almost surely, 2^33864560 is an apocalyptic number.

It is an amenable number.

33864560 is an abundant number, since it is smaller than the sum of its proper divisors (44870728).

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

33864560 is a wasteful number, since it uses less digits than its factorization.

33864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423320 (or 423314 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 33864560 is about 5819.3264215027. The cubic root of 33864560 is about 323.5304380327.

The spelling of 33864560 in words is "thirty-three million, eight hundred sixty-four thousand, five hundred sixty".