8756640 has 96 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 2333952.

The previous prime is 8756633. The next prime is 8756653. The reversal of 8756640 is 466578.

It is a happy number.

8756640 is a `hidden beast` number, since 8 + 7 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 8756595 and 8756604.

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, 3307 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 2^8756640 is an apocalyptic number.

8756640 is a gapful number since it is divisible by the number (80) 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 8756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

8756640 is an abundant number, since it is smaller than the sum of its proper divisors (21906720).

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

8756640 is a wasteful number, since it uses less digits than its factorization.

8756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2037 counting only the distinct ones).

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

The square root of 8756640 is about 2959.1620435522. The cubic root of 8756640 is about 206.1163762574.

The spelling of 8756640 in words is "eight million, seven hundred fifty-six thousand, six hundred forty".