8957680 has 40 divisors (see below), whose sum is σ = 21342384. Its totient is φ = 3494400.

The previous prime is 8957671. The next prime is 8957681. The reversal of 8957680 is 867598.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8957681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1915 + ... + 4645.

Almost surely, 2^8957680 is an apocalyptic number.

8957680 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 8957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671192).

8957680 is an abundant number, since it is smaller than the sum of its proper divisors (12384704).

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

8957680 is a wasteful number, since it uses less digits than its factorization.

8957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 8957680 is about 2992.9383555296. The cubic root of 8957680 is about 207.6818360589.

The spelling of 8957680 in words is "eight million, nine hundred fifty-seven thousand, six hundred eighty".