9014400 has 144 divisors (see below), whose sum is σ = 32268210. Its totient is φ = 2396160.

The previous prime is 9014393. The next prime is 9014407. The reversal of 9014400 is 44109.

It is an interprime number because it is at equal distance from previous prime (9014393) and next prime (9014407).

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 5419584 = 1896^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9014407) 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 17 ways as a sum of consecutive naturals, for example, 28644 + ... + 28956.

Almost surely, 2^9014400 is an apocalyptic number.

9014400 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 9014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134105).

9014400 is an abundant number, since it is smaller than the sum of its proper divisors (23253810).

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

9014400 is a wasteful number, since it uses less digits than its factorization.

9014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9014400 is about 3002.3990407672. The cubic root of 9014400 is about 208.1192609948.

Adding to 9014400 its reverse (44109), we get a palindrome (9058509).

The spelling of 9014400 in words is "nine million, fourteen thousand, four hundred".