10386240 has 112 divisors (see below), whose sum is σ = 34137600. Its totient is φ = 2672640.

The previous prime is 10386227. The next prime is 10386247. The reversal of 10386240 is 4268301.

It is a happy number.

10386240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 10386240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10386247) 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, 29586 + ... + 29934.

It is an arithmetic number, because the mean of its divisors is an integer number (304800).

Almost surely, 2^10386240 is an apocalyptic number.

10386240 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 10386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800).

10386240 is an abundant number, since it is smaller than the sum of its proper divisors (23751360).

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

10386240 is a wasteful number, since it uses less digits than its factorization.

10386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

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

The square root of 10386240 is about 3222.7689957550. The cubic root of 10386240 is about 218.1822676758.

The spelling of 10386240 in words is "ten million, three hundred eighty-six thousand, two hundred forty".