9144900 has 90 divisors (see below), whose sum is σ = 29670410. Its totient is φ = 2436480.

The previous prime is 9144899. The next prime is 9144901. The reversal of 9144900 is 94419.

It is an interprime number because it is at equal distance from previous prime (9144899) and next prime (9144901).

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 9144576 = 18^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (9144901) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7536 + ... + 8664.

Almost surely, 2^9144900 is an apocalyptic number.

9144900 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 9144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835205).

9144900 is an abundant number, since it is smaller than the sum of its proper divisors (20525510).

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

9144900 is a wasteful number, since it uses less digits than its factorization.

9144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9144900 is about 3024.0535709541. The cubic root of 9144900 is about 209.1187561010.

The spelling of 9144900 in words is "nine million, one hundred forty-four thousand, nine hundred".