8768640 has 64 divisors (see below), whose sum is σ = 27956160. Its totient is φ = 2337792.

The previous prime is 8768621. The next prime is 8768647. The reversal of 8768640 is 468678.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8768647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 4203.

It is an arithmetic number, because the mean of its divisors is an integer number (436815).

Almost surely, 2^8768640 is an apocalyptic number.

8768640 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 8768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978080).

8768640 is an abundant number, since it is smaller than the sum of its proper divisors (19187520).

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

8768640 is a wasteful number, since it uses less digits than its factorization.

8768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8768640 is about 2961.1889504049. The cubic root of 8768640 is about 206.2104864617.

The spelling of 8768640 in words is "eight million, seven hundred sixty-eight thousand, six hundred forty".