33992080 has 40 divisors (see below), whose sum is σ = 80532792. Its totient is φ = 13338624.

The previous prime is 33992053. The next prime is 33992093. The reversal of 33992080 is 8029933.

It can be written as a sum of positive squares in 4 ways, for example, as 7118224 + 26873856 = 2668^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 232 + ... + 8248.

Almost surely, 2^33992080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33992080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40266396).

33992080 is an abundant number, since it is smaller than the sum of its proper divisors (46540712).

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

33992080 is a wasteful number, since it uses less digits than its factorization.

33992080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 33992080 is about 5830.2727208939. The cubic root of 33992080 is about 323.9360235415.

The spelling of 33992080 in words is "thirty-three million, nine hundred ninety-two thousand, eighty".