33461320 has 64 divisors (see below), whose sum is σ = 80766720. Its totient is φ = 12443904.

The previous prime is 33461317. The next prime is 33461327. The reversal of 33461320 is 2316433.

It is a super-2 number, since 2×33461320² = 2239319872284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33461291 and 33461300.

It is not an unprimeable number, because it can be changed into a prime (33461327) 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 15 ways as a sum of consecutive naturals, for example, 33549 + ... + 34531.

It is an arithmetic number, because the mean of its divisors is an integer number (1261980).

Almost surely, 2^33461320 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 33461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40383360).

33461320 is an abundant number, since it is smaller than the sum of its proper divisors (47305400).

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

33461320 is a wasteful number, since it uses less digits than its factorization.

33461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 33461320 is about 5784.5760432377. The cubic root of 33461320 is about 322.2411680409.

Adding to 33461320 its reverse (2316433), we get a palindrome (35777753).

The spelling of 33461320 in words is "thirty-three million, four hundred sixty-one thousand, three hundred twenty".