9616400 has 60 divisors (see below), whose sum is σ = 23928900. Its totient is φ = 3709440.

The previous prime is 9616393. The next prime is 9616421. The reversal of 9616400 is 46169.

It can be written as a sum of positive squares in 6 ways, for example, as 80656 + 9535744 = 284^2 + 3088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9616400.

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, 11186 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (398815).

Almost surely, 2^9616400 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 9616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964450).

9616400 is an abundant number, since it is smaller than the sum of its proper divisors (14312500).

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

9616400 is a wasteful number, since it uses less digits than its factorization.

9616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 9616400 is about 3101.0320862577. The cubic root of 9616400 is about 212.6526699886.

It can be divided in two parts, 961 and 6400, that multiplied together give a square (6150400 = 2480²).

The spelling of 9616400 in words is "nine million, six hundred sixteen thousand, four hundred".