9926400 has 216 divisors, whose sum is σ = 36497664. Its totient is φ = 2355200.

The previous prime is 9926393. The next prime is 9926401. The reversal of 9926400 is 46299.

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926401) 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 23 ways as a sum of consecutive naturals, for example, 211177 + ... + 211223.

Almost surely, 2^9926400 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 9926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

9926400 is an abundant number, since it is smaller than the sum of its proper divisors (26571264).

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

9926400 is a wasteful number, since it uses less digits than its factorization.

9926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

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

The square root of 9926400 is about 3150.6189868024. The cubic root of 9926400 is about 214.9136123102.

The spelling of 9926400 in words is "nine million, nine hundred twenty-six thousand, four hundred".