32116896 has 144 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 9022464.

The previous prime is 32116883. The next prime is 32116913. The reversal of 32116896 is 69861123.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32116896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179335 + ... + 179513.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^32116896 is an apocalyptic number.

32116896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

32116896 is an abundant number, since it is smaller than the sum of its proper divisors (74025504).

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

32116896 is a wasteful number, since it uses less digits than its factorization.

32116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 32116896 is about 5667.1770750524. The cubic root of 32116896 is about 317.8663256844.

The spelling of 32116896 in words is "thirty-two million, one hundred sixteen thousand, eight hundred ninety-six".