33070080 has 88 divisors (see below), whose sum is σ = 105821712. Its totient is φ = 8814592.

The previous prime is 33070073. The next prime is 33070091. The reversal of 33070080 is 8007033.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14284 + ... + 16436.

Almost surely, 2^33070080 is an apocalyptic number.

33070080 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 33070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52910856).

33070080 is an abundant number, since it is smaller than the sum of its proper divisors (72751632).

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

33070080 is a wasteful number, since it uses less digits than its factorization.

33070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 33070080 is about 5750.6590926606. The cubic root of 33070080 is about 320.9803270132.

The spelling of 33070080 in words is "thirty-three million, seventy thousand, eighty".