8695680 has 128 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 1984512.

The previous prime is 8695667. The next prime is 8695681. The reversal of 8695680 is 865968.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8695680² = 151229701324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8695681) 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, 13117 + ... + 13763.

It is an arithmetic number, because the mean of its divisors is an integer number (247860).

Almost surely, 2^8695680 is an apocalyptic number.

8695680 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 8695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

8695680 is an abundant number, since it is smaller than the sum of its proper divisors (23030400).

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

8695680 is a wasteful number, since it uses less digits than its factorization.

8695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8695680 is about 2948.8438412368. The cubic root of 8695680 is about 205.6369638860.

The spelling of 8695680 in words is "eight million, six hundred ninety-five thousand, six hundred eighty".