10144640 has 96 divisors (see below), whose sum is σ = 26860680. Its totient is φ = 3660800.

The previous prime is 10144609. The next prime is 10144649. The reversal of 10144640 is 4644101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77375 + ... + 77505.

Almost surely, 2^10144640 is an apocalyptic number.

10144640 is a gapful number since it is divisible by the number (10) 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 10144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430340).

10144640 is an abundant number, since it is smaller than the sum of its proper divisors (16716040).

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

10144640 is a wasteful number, since it uses less digits than its factorization.

10144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10144640 is about 3185.0651484703. The cubic root of 10144640 is about 216.4772256017.

Adding to 10144640 its reverse (4644101), we get a palindrome (14788741).

The spelling of 10144640 in words is "ten million, one hundred forty-four thousand, six hundred forty".