32481768 has 64 divisors (see below), whose sum is σ = 90083520. Its totient is φ = 9676800.

The previous prime is 32481767. The next prime is 32481793. The reversal of 32481768 is 86718423.

32481768 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32481767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15096 + ... + 17112.

It is an arithmetic number, because the mean of its divisors is an integer number (1407555).

Almost surely, 2^32481768 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 32481768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45041760).

32481768 is an abundant number, since it is smaller than the sum of its proper divisors (57601752).

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

32481768 is a wasteful number, since it uses less digits than its factorization.

32481768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 32481768 is about 5699.2778489910. The cubic root of 32481768 is about 319.0655290020.

The spelling of 32481768 in words is "thirty-two million, four hundred eighty-one thousand, seven hundred sixty-eight".