33240096 has 72 divisors (see below), whose sum is σ = 95148144. Its totient is φ = 11007360.

The previous prime is 33240079. The next prime is 33240113. The reversal of 33240096 is 69004233.

It is an interprime number because it is at equal distance from previous prime (33240079) and next prime (33240113).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33240096² = 2209807964178432, 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, 60495 + ... + 61041.

It is an arithmetic number, because the mean of its divisors is an integer number (1321502).

Almost surely, 2^33240096 is an apocalyptic number.

33240096 is a gapful number since it is divisible by the number (36) 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 33240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47574072).

33240096 is an abundant number, since it is smaller than the sum of its proper divisors (61908048).

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

33240096 is a wasteful number, since it uses less digits than its factorization.

33240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33240096 is about 5765.4224476616. The cubic root of 33240096 is about 321.5294491413.

The spelling of 33240096 in words is "thirty-three million, two hundred forty thousand, ninety-six".