10265640 has 192 divisors, whose sum is σ = 39070080. Its totient is φ = 2112000.

The previous prime is 10265617. The next prime is 10265641. The reversal of 10265640 is 4656201.

10265640 = T₄₀₅ + T₄₀₆ + ... + T₅₀₃.

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 10265640.

It is not an unprimeable number, because it can be changed into a prime (10265641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101590 + ... + 101690.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^10265640 is an apocalyptic number.

10265640 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 10265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

10265640 is an abundant number, since it is smaller than the sum of its proper divisors (28804440).

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

10265640 is a wasteful number, since it uses less digits than its factorization.

10265640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

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

The square root of 10265640 is about 3204.0037453162. The cubic root of 10265640 is about 217.3345021913.

Subtracting from 10265640 its sum of digits (24), we obtain a square (10265616 = 3204²).

It can be divided in two parts, 1026 and 5640, that added together give a palindrome (6666).

The spelling of 10265640 in words is "ten million, two hundred sixty-five thousand, six hundred forty".