9566400 has 84 divisors (see below), whose sum is σ = 31401512. Its totient is φ = 2549760.

The previous prime is 9566399. The next prime is 9566429. The reversal of 9566400 is 46659.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

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, 3804 + ... + 5796.

Almost surely, 2^9566400 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 9566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700756).

9566400 is an abundant number, since it is smaller than the sum of its proper divisors (21835112).

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

9566400 is a wasteful number, since it uses less digits than its factorization.

9566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 9566400 is about 3092.9597475557. The cubic root of 9566400 is about 212.2834703273.

The spelling of 9566400 in words is "nine million, five hundred sixty-six thousand, four hundred".