33798648 has 64 divisors (see below), whose sum is σ = 91677600. Its totient is φ = 10383360.

The previous prime is 33798647. The next prime is 33798671. The reversal of 33798648 is 84689733.

33798648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33798648² = 2284697213255808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33798597 and 33798606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33798647) 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 15 ways as a sum of consecutive naturals, for example, 52408 + ... + 53048.

Almost surely, 2^33798648 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 33798648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45838800).

33798648 is an abundant number, since it is smaller than the sum of its proper divisors (57878952).

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

33798648 is a wasteful number, since it uses less digits than its factorization.

33798648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 659 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 33798648 is about 5813.6604648018. The cubic root of 33798648 is about 323.3204014620.

The spelling of 33798648 in words is "thirty-three million, seven hundred ninety-eight thousand, six hundred forty-eight".