33680880 has 160 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 8674560.

The previous prime is 33680873. The next prime is 33680903. The reversal of 33680880 is 8808633.

It is a super-2 number, since 2×33680880² = 2268803355148800, which contains 22 as substring.

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, 66709 + ... + 67211.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^33680880 is an apocalyptic number.

33680880 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 33680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

33680880 is an abundant number, since it is smaller than the sum of its proper divisors (86311440).

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

33680880 is a wasteful number, since it uses less digits than its factorization.

33680880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 33680880 is about 5803.5230679304. The cubic root of 33680880 is about 322.9444386150.

The spelling of 33680880 in words is "thirty-three million, six hundred eighty thousand, eight hundred eighty".