33232080 has 160 divisors (see below), whose sum is σ = 119420928. Its totient is φ = 7488000.

The previous prime is 33232051. The next prime is 33232081. The reversal of 33232080 is 8023233.

It is a super-2 number, since 2×33232080² = 2208742282252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33232081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 220005 + ... + 220155.

Almost surely, 2^33232080 is an apocalyptic number.

33232080 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 33232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59710464).

33232080 is an abundant number, since it is smaller than the sum of its proper divisors (86188848).

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

33232080 is a wasteful number, since it uses less digits than its factorization.

33232080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33232080 is about 5764.7272268512. The cubic root of 33232080 is about 321.5036009681.

The spelling of 33232080 in words is "thirty-three million, two hundred thirty-two thousand, eighty".