33663040 has 56 divisors (see below), whose sum is σ = 81564480. Its totient is φ = 13229568.

The previous prime is 33663037. The next prime is 33663059. The reversal of 33663040 is 4036633.

It is a super-2 number, since 2×33663040² = 2266400524083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33662996 and 33663014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17989 + ... + 19771.

Almost surely, 2^33663040 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 33663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40782240).

33663040 is an abundant number, since it is smaller than the sum of its proper divisors (47901440).

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

33663040 is a wasteful number, since it uses less digits than its factorization.

33663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 33663040 is about 5801.9858669252. The cubic root of 33663040 is about 322.8874097577.

Adding to 33663040 its reverse (4036633), we get a palindrome (37699673).

The spelling of 33663040 in words is "thirty-three million, six hundred sixty-three thousand, forty".