10287640 has 64 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 3688320.

The previous prime is 10287611. The next prime is 10287643. The reversal of 10287640 is 4678201.

10287640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10287599 and 10287608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287643) 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, 45207 + ... + 45433.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 2^10287640 is an apocalyptic number.

10287640 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 10287640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

10287640 is an abundant number, since it is smaller than the sum of its proper divisors (15321320).

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

10287640 is a wasteful number, since it uses less digits than its factorization.

10287640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10287640 is about 3207.4351123600. The cubic root of 10287640 is about 217.4896458717.

It can be divided in two parts, 1028 and 7640, that added together give a palindrome (8668).

The spelling of 10287640 in words is "ten million, two hundred eighty-seven thousand, six hundred forty".