33252320 has 48 divisors (see below), whose sum is σ = 79869888. Its totient is φ = 13079040.

The previous prime is 33252313. The next prime is 33252347. The reversal of 33252320 is 2325233.

It is a super-2 number, since 2×33252320² = 2211433570764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33252292 and 33252301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8057 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (1663956).

Almost surely, 2^33252320 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 33252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39934944).

33252320 is an abundant number, since it is smaller than the sum of its proper divisors (46617568).

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

33252320 is a wasteful number, since it uses less digits than its factorization.

33252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 33252320 is about 5766.4824633393. The cubic root of 33252320 is about 321.5688583164.

Adding to 33252320 its reverse (2325233), we get a palindrome (35577553).

The spelling of 33252320 in words is "thirty-three million, two hundred fifty-two thousand, three hundred twenty".