33506040 has 64 divisors (see below), whose sum is σ = 103772160. Its totient is φ = 8645760.

The previous prime is 33506027. The next prime is 33506047. The reversal of 33506040 is 4060533.

It is a super-2 number, since 2×33506040² = 2245309432963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33505998 and 33506016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33506047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784 + ... + 8223.

It is an arithmetic number, because the mean of its divisors is an integer number (1621440).

Almost surely, 2^33506040 is an apocalyptic number.

33506040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51886080).

33506040 is an abundant number, since it is smaller than the sum of its proper divisors (70266120).

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

33506040 is a wasteful number, since it uses less digits than its factorization.

33506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 33506040 is about 5788.4402044074. The cubic root of 33506040 is about 322.3846591924.

Adding to 33506040 its reverse (4060533), we get a palindrome (37566573).

The spelling of 33506040 in words is "thirty-three million, five hundred six thousand, forty".