9006400 has 84 divisors (see below), whose sum is σ = 23921212. Its totient is φ = 3317760.

The previous prime is 9006397. The next prime is 9006419. The reversal of 9006400 is 46009.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2534464 + 6471936 = 1592^2 + 2544^2 .

It is a super-2 number, since 2×9006400² = 162230481920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20584 + ... + 21016.

Almost surely, 2^9006400 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 9006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960606).

9006400 is an abundant number, since it is smaller than the sum of its proper divisors (14914812).

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

9006400 is a wasteful number, since it uses less digits than its factorization.

9006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 9006400 is about 3001.0664771044. The cubic root of 9006400 is about 208.0576763132.

It can be divided in two parts, 900 and 6400, that multiplied together give a square (5760000 = 2400²).

The spelling of 9006400 in words is "nine million, six thousand, four hundred".