9896400 has 90 divisors (see below), whose sum is σ = 34355750. Its totient is φ = 2638080.

The previous prime is 9896387. The next prime is 9896429. The reversal of 9896400 is 46989.

9896400 is a `hidden beast` number, since 9 + 8 + 9 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 9884736 = 108^2 + 3144^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2226 + ... + 4974.

Almost surely, 2^9896400 is an apocalyptic number.

9896400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177875).

9896400 is an abundant number, since it is smaller than the sum of its proper divisors (24459350).

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

9896400 is a wasteful number, since it uses less digits than its factorization.

9896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9896400 is about 3145.8544149404. The cubic root of 9896400 is about 214.6968867262.

It can be divided in two parts, 9896 and 400, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 9896400 in words is "nine million, eight hundred ninety-six thousand, four hundred".