33056640 has 128 divisors (see below), whose sum is σ = 117136800. Its totient is φ = 8810496.

The previous prime is 33056629. The next prime is 33056669. The reversal of 33056640 is 4665033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16324 + ... + 18236.

Almost surely, 2^33056640 is an apocalyptic number.

33056640 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 33056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58568400).

33056640 is an abundant number, since it is smaller than the sum of its proper divisors (84080160).

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

33056640 is a wasteful number, since it uses less digits than its factorization.

33056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 33056640 is about 5749.4904122018. The cubic root of 33056640 is about 320.9368379526.

The spelling of 33056640 in words is "thirty-three million, fifty-six thousand, six hundred forty".