9716400 has 90 divisors (see below), whose sum is σ = 33731100. Its totient is φ = 2590080.

The previous prime is 9716383. The next prime is 9716431. The reversal of 9716400 is 46179.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2251 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (374790).

Almost surely, 2^9716400 is an apocalyptic number.

9716400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9716400 is the 1800-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865550).

9716400 is an abundant number, since it is smaller than the sum of its proper divisors (24014700).

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

9716400 is a wasteful number, since it uses less digits than its factorization.

9716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9716400 is about 3117.1140498865. The cubic root of 9716400 is about 213.3872476582.

The spelling of 9716400 in words is "nine million, seven hundred sixteen thousand, four hundred".