10638240 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2755584.

The previous prime is 10638227. The next prime is 10638241. The reversal of 10638240 is 4283601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10638240² = 226344300595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10638240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17461 + ... + 18059.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^10638240 is an apocalyptic number.

10638240 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 10638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

10638240 is an abundant number, since it is smaller than the sum of its proper divisors (23835360).

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

10638240 is a wasteful number, since it uses less digits than its factorization.

10638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10638240 is about 3261.6314935934. The cubic root of 10638240 is about 219.9327618214.

It can be divided in two parts, 10638 and 240, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10638240 in words is "ten million, six hundred thirty-eight thousand, two hundred forty".