33240006 has 48 divisors (see below), whose sum is σ = 76789440. Its totient is φ = 10361520.

The previous prime is 33240001. The next prime is 33240017. The reversal of 33240006 is 60004233.

It is a super-2 number, since 2×33240006² = 2209795997760072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27801 + ... + 28971.

It is an arithmetic number, because the mean of its divisors is an integer number (1599780).

Almost surely, 2^33240006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33240006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38394720).

33240006 is an abundant number, since it is smaller than the sum of its proper divisors (43549434).

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

33240006 is a wasteful number, since it uses less digits than its factorization.

33240006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33240006 is about 5765.4146425040. The cubic root of 33240006 is about 321.5291589528.

Adding to 33240006 its reverse (60004233), we get a palindrome (93244239).

The spelling of 33240006 in words is "thirty-three million, two hundred forty thousand, six".