8249680 has 40 divisors (see below), whose sum is σ = 19389384. Its totient is φ = 3264000.

The previous prime is 8249623. The next prime is 8249687. The reversal of 8249680 is 869428.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 5180176 = 1752^2 + 2276^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8249687) 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, 7570 + ... + 8590.

Almost surely, 2^8249680 is an apocalyptic number.

8249680 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 8249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694692).

8249680 is an abundant number, since it is smaller than the sum of its proper divisors (11139704).

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

8249680 is a wasteful number, since it uses less digits than its factorization.

8249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 8249680 is about 2872.2256178789. The cubic root of 8249680 is about 202.0593884785.

The spelling of 8249680 in words is "eight million, two hundred forty-nine thousand, six hundred eighty".