10256640 has 72 divisors (see below), whose sum is σ = 32769408. Its totient is φ = 2734080.

The previous prime is 10256621. The next prime is 10256663. The reversal of 10256640 is 4665201.

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 10256640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505 + ... + 5175.

Almost surely, 2^10256640 is an apocalyptic number.

10256640 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 10256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384704).

10256640 is an abundant number, since it is smaller than the sum of its proper divisors (22512768).

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

10256640 is an equidigital number, since it uses as much as digits as its factorization.

10256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10256640 is about 3202.5989446073. The cubic root of 10256640 is about 217.2709704350.

The spelling of 10256640 in words is "ten million, two hundred fifty-six thousand, six hundred forty".