10238640 has 80 divisors (see below), whose sum is σ = 32625888. Its totient is φ = 2654208.

The previous prime is 10238639. The next prime is 10238647. The reversal of 10238640 is 4683201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 10238640.

It is not an unprimeable number, because it can be changed into a prime (10238647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8304 + ... + 9456.

Almost surely, 2^10238640 is an apocalyptic number.

10238640 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 10238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312944).

10238640 is an abundant number, since it is smaller than the sum of its proper divisors (22387248).

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

10238640 is a wasteful number, since it uses less digits than its factorization.

10238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

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

The square root of 10238640 is about 3199.7874929439. The cubic root of 10238640 is about 217.1437953396.

It can be divided in two parts, 10238 and 640, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10238640 in words is "ten million, two hundred thirty-eight thousand, six hundred forty".