33050880 has 216 divisors, whose sum is σ = 121168320. Its totient is φ = 8294400.

The previous prime is 33050863. The next prime is 33050893. The reversal of 33050880 is 8805033.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218805 + ... + 218955.

Almost surely, 2^33050880 is an apocalyptic number.

33050880 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 33050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60584160).

33050880 is an abundant number, since it is smaller than the sum of its proper divisors (88117440).

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

33050880 is a wasteful number, since it uses less digits than its factorization.

33050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 33050880 is about 5748.9894764211. The cubic root of 33050880 is about 320.9181961752.

33050880 divided by its product of nonzero digits (2880) gives a triangular number (11476 = T₁₅₁).

It can be divided in two parts, 33050 and 880, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 33050880 in words is "thirty-three million, fifty thousand, eight hundred eighty".