33406240 has 72 divisors (see below), whose sum is σ = 91829052. Its totient is φ = 11450880.

The previous prime is 33406229. The next prime is 33406277. The reversal of 33406240 is 4260433.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 1731856 = 5628^2 + 1316^2 .

It is a super-2 number, since 2×33406240² = 2231953741875200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5710 + ... + 9970.

Almost surely, 2^33406240 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 33406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45914526).

33406240 is an abundant number, since it is smaller than the sum of its proper divisors (58422812).

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

33406240 is a wasteful number, since it uses less digits than its factorization.

33406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 33406240 is about 5779.8131457686. The cubic root of 33406240 is about 322.0642593871.

Adding to 33406240 its reverse (4260433), we get a palindrome (37666673).

The spelling of 33406240 in words is "thirty-three million, four hundred six thousand, two hundred forty".