32894976 has 52 divisors (see below), whose sum is σ = 87741992. Its totient is φ = 10960896.

The previous prime is 32894963. The next prime is 32894977. The reversal of 32894976 is 67949823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32894977) 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 3 ways as a sum of consecutive naturals, for example, 10950 + ... + 13626.

It is an arithmetic number, because the mean of its divisors is an integer number (1687346).

Almost surely, 2^32894976 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 32894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43870996).

32894976 is an abundant number, since it is smaller than the sum of its proper divisors (54847016).

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

32894976 is an equidigital number, since it uses as much as digits as its factorization.

32894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2682 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 32894976 is about 5735.4141960280. The cubic root of 32894976 is about 320.4128005908.

The spelling of 32894976 in words is "thirty-two million, eight hundred ninety-four thousand, nine hundred seventy-six".