32887968 has 96 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 10386432.

The previous prime is 32887963. The next prime is 32887973. The reversal of 32887968 is 86978823.

It is an interprime number because it is at equal distance from previous prime (32887963) and next prime (32887973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 32887968.

It is not an unprimeable number, because it can be changed into a prime (32887963) 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, 166846 + ... + 167042.

It is an arithmetic number, because the mean of its divisors is an integer number (948024).

Almost surely, 2^32887968 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 32887968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152).

32887968 is an abundant number, since it is smaller than the sum of its proper divisors (58122336).

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

32887968 is a wasteful number, since it uses less digits than its factorization.

32887968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 32887968 is about 5734.8032224306. The cubic root of 32887968 is about 320.3900452174.

The spelling of 32887968 in words is "thirty-two million, eight hundred eighty-seven thousand, nine hundred sixty-eight".