33630648 has 32 divisors (see below), whose sum is σ = 84272400. Its totient is φ = 11184128.

The previous prime is 33630647. The next prime is 33630659. The reversal of 33630648 is 84603633.

It is a super-2 number, since 2×33630648² = 2262040969799808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33630643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10840 + ... + 13592.

Almost surely, 2^33630648 is an apocalyptic number.

It is an amenable number.

33630648 is an abundant number, since it is smaller than the sum of its proper divisors (50641752).

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

33630648 is a wasteful number, since it uses less digits than its factorization.

33630648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 33630648 is about 5799.1937370638. The cubic root of 33630648 is about 322.7838112170.

The spelling of 33630648 in words is "thirty-three million, six hundred thirty thousand, six hundred forty-eight".