33330240 has 168 divisors, whose sum is σ = 116970048. Its totient is φ = 8709120.

The previous prime is 33330133. The next prime is 33330247. The reversal of 33330240 is 4203333.

It is a super-2 number, since 2×33330240² = 2221809796915200, 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 (33330247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204399 + ... + 204561.

Almost surely, 2^33330240 is an apocalyptic number.

33330240 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 33330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58485024).

33330240 is an abundant number, since it is smaller than the sum of its proper divisors (83639808).

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

33330240 is a wasteful number, since it uses less digits than its factorization.

33330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 33330240 is about 5773.2347951560. The cubic root of 33330240 is about 321.8198392923.

Adding to 33330240 its reverse (4203333), we get a palindrome (37533573).

The spelling of 33330240 in words is "thirty-three million, three hundred thirty thousand, two hundred forty".