9986400 has 216 divisors, whose sum is σ = 37575720. Its totient is φ = 2488320.

The previous prime is 9986377. The next prime is 9986407. The reversal of 9986400 is 46899.

9986400 is a `hidden beast` number, since 9 + 9 + 8 + 640 + 0 = 666.

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

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 (9986407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136764 + ... + 136836.

Almost surely, 2^9986400 is an apocalyptic number.

9986400 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 9986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787860).

9986400 is an abundant number, since it is smaller than the sum of its proper divisors (27589320).

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

9986400 is a wasteful number, since it uses less digits than its factorization.

9986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

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

The square root of 9986400 is about 3160.1265797433. The cubic root of 9986400 is about 215.3457569877.

The spelling of 9986400 in words is "nine million, nine hundred eighty-six thousand, four hundred".