10127240 has 64 divisors (see below), whose sum is σ = 24669360. Its totient is φ = 3727360.

The previous prime is 10127237. The next prime is 10127263. The reversal of 10127240 is 4272101.

It can be written as a sum of positive squares in 8 ways, for example, as 7761796 + 2365444 = 2786^2 + 1538^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35900 + ... + 36180.

Almost surely, 2^10127240 is an apocalyptic number.

10127240 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 10127240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334680).

10127240 is an abundant number, since it is smaller than the sum of its proper divisors (14542120).

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

10127240 is a wasteful number, since it uses less digits than its factorization.

10127240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 10127240 is about 3182.3324779162. The cubic root of 10127240 is about 216.3533881428.

Adding to 10127240 its reverse (4272101), we get a palindrome (14399341).

The spelling of 10127240 in words is "ten million, one hundred twenty-seven thousand, two hundred forty".