33806240 has 48 divisors (see below), whose sum is σ = 86016168. Its totient is φ = 12481536.

The previous prime is 33806219. The next prime is 33806243. The reversal of 33806240 is 4260833.

It can be written as a sum of positive squares in 4 ways, for example, as 24245776 + 9560464 = 4924^2 + 3092^2 .

It is a super-2 number, since 2×33806240² = 2285723725875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (33806243) 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 7 ways as a sum of consecutive naturals, for example, 6047 + ... + 10206.

Almost surely, 2^33806240 is an apocalyptic number.

It is an amenable number.

33806240 is an abundant number, since it is smaller than the sum of its proper divisors (52209928).

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

33806240 is a wasteful number, since it uses less digits than its factorization.

33806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16281 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 33806240 is about 5814.3133730476. The cubic root of 33806240 is about 323.3446081967.

The spelling of 33806240 in words is "thirty-three million, eight hundred six thousand, two hundred forty".