33540096 has 96 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 10862592.

The previous prime is 33540083. The next prime is 33540097. The reversal of 33540096 is 69004533.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33540096² = 2249876079378432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33540097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325581 + ... + 325683.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^33540096 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 33540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).

33540096 is an abundant number, since it is smaller than the sum of its proper divisors (58449984).

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

33540096 is a wasteful number, since it uses less digits than its factorization.

33540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 33540096 is about 5791.3811824124. The cubic root of 33540096 is about 322.4938476081.

The spelling of 33540096 in words is "thirty-three million, five hundred forty thousand, ninety-six".