33792160 has 48 divisors (see below), whose sum is σ = 80510976. Its totient is φ = 13402368.

The previous prime is 33792133. The next prime is 33792169. The reversal of 33792160 is 6129733.

It is a super-2 number, since 2×33792160² = 2283820154931200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33792169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19489 + ... + 21151.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 2^33792160 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 33792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40255488).

33792160 is an abundant number, since it is smaller than the sum of its proper divisors (46718816).

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

33792160 is a wasteful number, since it uses less digits than its factorization.

33792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 33792160 is about 5813.1024418980. The cubic root of 33792160 is about 323.2997119065.

The spelling of 33792160 in words is "thirty-three million, seven hundred ninety-two thousand, one hundred sixty".