9960400 has 60 divisors (see below), whose sum is σ = 24613132. Its totient is φ = 3870720.

The previous prime is 9960383. The next prime is 9960407. The reversal of 9960400 is 40699.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 9960336 = 8^2 + 3156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14464 + ... + 15136.

Almost surely, 2^9960400 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 9960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306566).

9960400 is an abundant number, since it is smaller than the sum of its proper divisors (14652732).

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

9960400 is a wasteful number, since it uses less digits than its factorization.

9960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9960400 is about 3156.0101394007. The cubic root of 9960400 is about 215.1587074074.

It can be divided in two parts, 9 and 960400, that multiplied together give a square (8643600 = 2940²).

The spelling of 9960400 in words is "nine million, nine hundred sixty thousand, four hundred".