9962400 has 144 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 2273280.

The previous prime is 9962389. The next prime is 9962401. The reversal of 9962400 is 42699.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9962401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16504 + ... + 17096.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^9962400 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 9962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

9962400 is an abundant number, since it is smaller than the sum of its proper divisors (27160224).

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

9962400 is a wasteful number, since it uses less digits than its factorization.

9962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9962400 is about 3156.3269792593. The cubic root of 9962400 is about 215.1731073851.

The spelling of 9962400 in words is "nine million, nine hundred sixty-two thousand, four hundred".