39440960 has 112 divisors (see below), whose sum is σ = 106680000. Its totient is φ = 13768704.

The previous prime is 39440923. The next prime is 39440963. The reversal of 39440960 is 6904493.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 39440960.

It is not an unprimeable number, because it can be changed into a prime (39440963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78791 + ... + 79289.

It is an arithmetic number, because the mean of its divisors is an integer number (952500).

Almost surely, 2^39440960 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 39440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340000).

39440960 is an abundant number, since it is smaller than the sum of its proper divisors (67239040).

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

39440960 is a wasteful number, since it uses less digits than its factorization.

39440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 39440960 is about 6280.2038183486. The cubic root of 39440960 is about 340.3944671919.

The spelling of 39440960 in words is "thirty-nine million, four hundred forty thousand, nine hundred sixty".