33014880 has 144 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 8678400.

The previous prime is 33014869. The next prime is 33014897. The reversal of 33014880 is 8841033.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145327 + ... + 145553.

It is an arithmetic number, because the mean of its divisors is an integer number (793611).

Almost surely, 2^33014880 is an apocalyptic number.

33014880 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 33014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139992).

33014880 is an abundant number, since it is smaller than the sum of its proper divisors (81265104).

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

33014880 is a wasteful number, since it uses less digits than its factorization.

33014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 33014880 is about 5745.8576383339. The cubic root of 33014880 is about 320.8016359682.

The spelling of 33014880 in words is "thirty-three million, fourteen thousand, eight hundred eighty".