33055680 has 112 divisors (see below), whose sum is σ = 119969280. Its totient is φ = 7554048.

The previous prime is 33055639. The next prime is 33055697. The reversal of 33055680 is 8655033.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a zygodrome in base 2.

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, 4261 + ... + 9179.

Almost surely, 2^33055680 is an apocalyptic number.

33055680 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 33055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984640).

33055680 is an abundant number, since it is smaller than the sum of its proper divisors (86913600).

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

33055680 is a wasteful number, since it uses less digits than its factorization.

33055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 33055680 is about 5749.4069259359. The cubic root of 33055680 is about 320.9337311401.

The spelling of 33055680 in words is "thirty-three million, fifty-five thousand, six hundred eighty".