32984896 has 112 divisors (see below), whose sum is σ = 81637632. Its totient is φ = 12902400.

The previous prime is 32984881. The next prime is 32984909. The reversal of 32984896 is 69848923.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464541 + ... + 464611.

Almost surely, 2^32984896 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 32984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40818816).

32984896 is an abundant number, since it is smaller than the sum of its proper divisors (48652736).

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

32984896 is a wasteful number, since it uses less digits than its factorization.

32984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 32984896 is about 5743.2478616198. The cubic root of 32984896 is about 320.7044895736.

The spelling of 32984896 in words is "thirty-two million, nine hundred eighty-four thousand, eight hundred ninety-six".