32945796 has 144 divisors (see below), whose sum is σ = 98240688. Its totient is φ = 9216000.

The previous prime is 32945767. The next prime is 32945819. The reversal of 32945796 is 69754923.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44100 + 32901696 = 210^2 + 5736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326146 + ... + 326246.

It is an arithmetic number, because the mean of its divisors is an integer number (682227).

Almost surely, 2^32945796 is an apocalyptic number.

32945796 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 32945796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49120344).

32945796 is an abundant number, since it is smaller than the sum of its proper divisors (65294892).

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

32945796 is a wasteful number, since it uses less digits than its factorization.

32945796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 32945796 is about 5739.8428549918. The cubic root of 32945796 is about 320.5777193941.

It can be divided in two parts, 3 and 2945796, that multiplied together give a palindrome (8837388).

The spelling of 32945796 in words is "thirty-two million, nine hundred forty-five thousand, seven hundred ninety-six".