33288240 has 80 divisors (see below), whose sum is σ = 105180768. Its totient is φ = 8706048.

The previous prime is 33288221. The next prime is 33288251. The reversal of 33288240 is 4288233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33288240² = 2216213844595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33288198 and 33288207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11412 + ... + 14028.

Almost surely, 2^33288240 is an apocalyptic number.

33288240 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 33288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384).

33288240 is an abundant number, since it is smaller than the sum of its proper divisors (71892528).

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

33288240 is a wasteful number, since it uses less digits than its factorization.

33288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 33288240 is about 5769.5961730437. The cubic root of 33288240 is about 321.6846055960.

The spelling of 33288240 in words is "thirty-three million, two hundred eighty-eight thousand, two hundred forty".