10766540 has 48 divisors (see below), whose sum is σ = 24645600. Its totient is φ = 3935232.

The previous prime is 10766537. The next prime is 10766543. The reversal of 10766540 is 4566701.

It is an interprime number because it is at equal distance from previous prime (10766537) and next prime (10766543).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10766543) 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, 10532 + ... + 11508.

It is an arithmetic number, because the mean of its divisors is an integer number (513450).

Almost surely, 2^10766540 is an apocalyptic number.

10766540 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 10766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322800).

10766540 is an abundant number, since it is smaller than the sum of its proper divisors (13879060).

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

10766540 is a wasteful number, since it uses less digits than its factorization.

10766540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10766540 is about 3281.2406190342. The cubic root of 10766540 is about 220.8133802628.

The spelling of 10766540 in words is "ten million, seven hundred sixty-six thousand, five hundred forty".