32642448 has 80 divisors (see below), whose sum is σ = 90351360. Its totient is φ = 10119168.

The previous prime is 32642447. The next prime is 32642453. The reversal of 32642448 is 84424623.

It is a super-2 number, since 2×32642448² = 2131058822865408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32642443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88761 + ... + 89127.

It is an arithmetic number, because the mean of its divisors is an integer number (1129392).

Almost surely, 2^32642448 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 32642448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45175680).

32642448 is an abundant number, since it is smaller than the sum of its proper divisors (57708912).

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

32642448 is a wasteful number, since it uses less digits than its factorization.

32642448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 32642448 is about 5713.3569816702. The cubic root of 32642448 is about 319.5907789882.

The spelling of 32642448 in words is "thirty-two million, six hundred forty-two thousand, four hundred forty-eight".