32440960 has 64 divisors (see below), whose sum is σ = 78268680. Its totient is φ = 12857344.

The previous prime is 32440957. The next prime is 32440987. The reversal of 32440960 is 6904423.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 87616 = 5688^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110574 + ... + 110866.

Almost surely, 2^32440960 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 32440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39134340).

32440960 is an abundant number, since it is smaller than the sum of its proper divisors (45827720).

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

32440960 is a wasteful number, since it uses less digits than its factorization.

32440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 32440960 is about 5695.6966211342. The cubic root of 32440960 is about 318.9318552172.

The spelling of 32440960 in words is "thirty-two million, four hundred forty thousand, nine hundred sixty".