9966400 has 42 divisors (see below), whose sum is σ = 24527510. Its totient is φ = 3985920.

The previous prime is 9966389. The next prime is 9966409. The reversal of 9966400 is 46699.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 9339136 = 792^2 + 3056^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1515 + ... + 4714.

Almost surely, 2^9966400 is an apocalyptic number.

It is an amenable number.

9966400 is an abundant number, since it is smaller than the sum of its proper divisors (14561110).

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

9966400 is a wasteful number, since it uses less digits than its factorization.

9966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 9966400 is about 3156.9605635801. The cubic root of 9966400 is about 215.2019015600.

It can be divided in two parts, 996 and 6400, that added together give a square (7396 = 86²).

The spelling of 9966400 in words is "nine million, nine hundred sixty-six thousand, four hundred".