33240080 has 40 divisors (see below), whose sum is σ = 77988312. Its totient is φ = 13174784.

The previous prime is 33240079. The next prime is 33240113. The reversal of 33240080 is 8004233.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 32444416 = 892^2 + 5696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33240080² = 2209805836812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7202 + ... + 10878.

Almost surely, 2^33240080 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 33240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38994156).

33240080 is an abundant number, since it is smaller than the sum of its proper divisors (44748232).

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

33240080 is a wasteful number, since it uses less digits than its factorization.

33240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 33240080 is about 5765.4210600788. The cubic root of 33240080 is about 321.5293975523.

The spelling of 33240080 in words is "thirty-three million, two hundred forty thousand, eighty".