10144576 has 56 divisors (see below), whose sum is σ = 22082760. Its totient is φ = 4595712.

The previous prime is 10144559. The next prime is 10144579. The reversal of 10144576 is 67544101.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 10086976 = 240^2 + 3176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73980 + ... + 74116.

It is an arithmetic number, because the mean of its divisors is an integer number (394335).

Almost surely, 2^10144576 is an apocalyptic number.

10144576 is a gapful number since it is divisible by the number (16) 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 10144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041380).

10144576 is an abundant number, since it is smaller than the sum of its proper divisors (11938184).

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

10144576 is a wasteful number, since it uses less digits than its factorization.

10144576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 10144576 is about 3185.0551015642. The cubic root of 10144576 is about 216.4767703672.

Adding to 10144576 its reverse (67544101), we get a palindrome (77688677).

The spelling of 10144576 in words is "ten million, one hundred forty-four thousand, five hundred seventy-six".