33661040 has 120 divisors (see below), whose sum is σ = 94315392. Its totient is φ = 11128320.

The previous prime is 33660997. The next prime is 33661051. The reversal of 33661040 is 4016633.

It is a super-2 number, since 2×33661040² = 2266131227763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33660997 and 33661015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121382 + ... + 121658.

Almost surely, 2^33661040 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 33661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47157696).

33661040 is an abundant number, since it is smaller than the sum of its proper divisors (60654352).

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

33661040 is a wasteful number, since it uses less digits than its factorization.

33661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 33661040 is about 5801.8135095847. The cubic root of 33661040 is about 322.8810151321.

Adding to 33661040 its reverse (4016633), we get a palindrome (37677673).

The spelling of 33661040 in words is "thirty-three million, six hundred sixty-one thousand, forty".