32673248 has 48 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 15438720.

The previous prime is 32673241. The next prime is 32673253. The reversal of 32673248 is 84237623.

It is a super-4 number, since 4×32673248⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32673241) 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 7 ways as a sum of consecutive naturals, for example, 75593 + ... + 76023.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^32673248 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 32673248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

32673248 is an abundant number, since it is smaller than the sum of its proper divisors (35257888).

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

32673248 is a wasteful number, since it uses less digits than its factorization.

32673248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 32673248 is about 5716.0517842301. The cubic root of 32673248 is about 319.6912647287.

The spelling of 32673248 in words is "thirty-two million, six hundred seventy-three thousand, two hundred forty-eight".