33055668 has 96 divisors (see below), whose sum is σ = 91728000. Its totient is φ = 10264320.

The previous prime is 33055639. The next prime is 33055697. The reversal of 33055668 is 86655033.

It is an interprime number because it is at equal distance from previous prime (33055639) and next prime (33055697).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182538 + ... + 182718.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^33055668 is an apocalyptic number.

33055668 is a gapful number since it is divisible by the number (38) 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 33055668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864000).

33055668 is an abundant number, since it is smaller than the sum of its proper divisors (58672332).

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

33055668 is a wasteful number, since it uses less digits than its factorization.

33055668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 33055668 is about 5749.4058823499. The cubic root of 33055668 is about 320.9336923045.

The spelling of 33055668 in words is "thirty-three million, fifty-five thousand, six hundred sixty-eight".