33321960 has 144 divisors (see below), whose sum is σ = 126044100. Its totient is φ = 7612416.

The previous prime is 33321949. The next prime is 33321979. The reversal of 33321960 is 6912333.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 213444 = 5754^2 + 462^2 .

It is a super-2 number, since 2×33321960² = 2220706036483200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16696 + ... + 18584.

Almost surely, 2^33321960 is an apocalyptic number.

33321960 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 33321960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63022050).

33321960 is an abundant number, since it is smaller than the sum of its proper divisors (92722140).

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

33321960 is a wasteful number, since it uses less digits than its factorization.

33321960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 33321960 is about 5772.5176483056. The cubic root of 33321960 is about 321.7931879295.

It can be divided in two parts, 3 and 3321960, that multiplied together give a triangular number (9965880 = T₄₄₆₄).

The spelling of 33321960 in words is "thirty-three million, three hundred twenty-one thousand, nine hundred sixty".