10540680 has 64 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 2644992.

The previous prime is 10540669. The next prime is 10540741. The reversal of 10540680 is 8604501.

It is a super-2 number, since 2×10540680² = 222211869724800, which contains 22 as substring.

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 10540680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^10540680 is an apocalyptic number.

10540680 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 10540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

10540680 is an abundant number, since it is smaller than the sum of its proper divisors (22947960).

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

10540680 is a wasteful number, since it uses less digits than its factorization.

10540680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10540680 is about 3246.6413414481. The cubic root of 10540680 is about 219.2583843803.

The spelling of 10540680 in words is "ten million, five hundred forty thousand, six hundred eighty".