8766540 has 72 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 2311680.

The previous prime is 8766533. The next prime is 8766557. The reversal of 8766540 is 456678.

8766540 = T₁₇₀ + T₁₇₁ + ... + T₃₈₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8766495 and 8766504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20125 + ... + 20555.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^8766540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

8766540 is an abundant number, since it is smaller than the sum of its proper divisors (18122868).

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

8766540 is a wasteful number, since it uses less digits than its factorization.

8766540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8766540 is about 2960.8343418705. The cubic root of 8766540 is about 206.1940233767.

The spelling of 8766540 in words is "eight million, seven hundred sixty-six thousand, five hundred forty".