10815640 has 64 divisors (see below), whose sum is σ = 27164160. Its totient is φ = 3841920.

The previous prime is 10815631. The next prime is 10815641. The reversal of 10815640 is 4651801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10815641) 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, 20419 + ... + 20941.

It is an arithmetic number, because the mean of its divisors is an integer number (424440).

Almost surely, 2^10815640 is an apocalyptic number.

10815640 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 10815640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582080).

10815640 is an abundant number, since it is smaller than the sum of its proper divisors (16348520).

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

10815640 is a wasteful number, since it uses less digits than its factorization.

10815640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10815640 is about 3288.7140343910. The cubic root of 10815640 is about 221.1485389216.

The spelling of 10815640 in words is "ten million, eight hundred fifteen thousand, six hundred forty".