32112640 has 108 divisors (see below), whose sum is σ = 89652906. Its totient is φ = 11010048.

The previous prime is 32112607. The next prime is 32112649. The reversal of 32112640 is 4621123.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 3211264 = 5376^2 + 1792^2 .

It is not an unprimeable number, because it can be changed into a prime (32112649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4587517 + ... + 4587523.

Almost surely, 2^32112640 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 32112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44826453).

32112640 is an abundant number, since it is smaller than the sum of its proper divisors (57540266).

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

32112640 is an frugal number, since it uses more digits than its factorization.

32112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 32112640 is about 5666.8015670217. The cubic root of 32112640 is about 317.8522842814.

Adding to 32112640 its reverse (4621123), we get a palindrome (36733763).

The spelling of 32112640 in words is "thirty-two million, one hundred twelve thousand, six hundred forty".