9956400 has 60 divisors (see below), whose sum is σ = 31897512. Its totient is φ = 2654720.

The previous prime is 9956389. The next prime is 9956411. The reversal of 9956400 is 46599.

It is a happy number.

9956400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9956389) and next prime (9956411).

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949 + ... + 5348.

Almost surely, 2^9956400 is an apocalyptic number.

It is an amenable number.

9956400 is an abundant number, since it is smaller than the sum of its proper divisors (21941112).

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

9956400 is a wasteful number, since it uses less digits than its factorization.

9956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9956400 is about 3155.3763642393. The cubic root of 9956400 is about 215.1299016679.

The spelling of 9956400 in words is "nine million, nine hundred fifty-six thousand, four hundred".