9860400 has 240 divisors, whose sum is σ = 38747520. Its totient is φ = 2361600.

The previous prime is 9860393. The next prime is 9860401. The reversal of 9860400 is 40689.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9860401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118759 + ... + 118841.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^9860400 is an apocalyptic number.

9860400 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 9860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

9860400 is an abundant number, since it is smaller than the sum of its proper divisors (28887120).

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

9860400 is a wasteful number, since it uses less digits than its factorization.

9860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9860400 is about 3140.1273859511. The cubic root of 9860400 is about 214.4362370992.

The spelling of 9860400 in words is "nine million, eight hundred sixty thousand, four hundred".