33027960 has 192 divisors, whose sum is σ = 118933920. Its totient is φ = 7311360.

The previous prime is 33027959. The next prime is 33027997. The reversal of 33027960 is 6972033.

It is a happy number.

It is a super-2 number, since 2×33027960² = 2181692283523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241012 + ... + 241148.

Almost surely, 2^33027960 is an apocalyptic number.

33027960 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 33027960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

33027960 is an abundant number, since it is smaller than the sum of its proper divisors (85905960).

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

33027960 is a wasteful number, since it uses less digits than its factorization.

33027960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 33027960 is about 5746.9957369046. The cubic root of 33027960 is about 320.8439959725.

Adding to 33027960 its reverse (6972033), we get a palindrome (39999993).

The spelling of 33027960 in words is "thirty-three million, twenty-seven thousand, nine hundred sixty".