33648640 has 104 divisors (see below), whose sum is σ = 84924288. Its totient is φ = 12779520.

The previous prime is 33648623. The next prime is 33648647. The reversal of 33648640 is 4684633.

It is a super-2 number, since 2×33648640² = 2264461947699200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33648596 and 33648605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33648647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634854 + ... + 634906.

Almost surely, 2^33648640 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 33648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42462144).

33648640 is an abundant number, since it is smaller than the sum of its proper divisors (51275648).

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

33648640 is an equidigital number, since it uses as much as digits as its factorization.

33648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 33648640 is about 5800.7447797675. The cubic root of 33648640 is about 322.8413627990.

The spelling of 33648640 in words is "thirty-three million, six hundred forty-eight thousand, six hundred forty".