8993680 has 60 divisors (see below), whose sum is σ = 22269780. Its totient is φ = 3377152.

The previous prime is 8993609. The next prime is 8993681. The reversal of 8993680 is 863998.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 8928144 = 256^2 + 2988^2 .

It is not an unprimeable number, because it can be changed into a prime (8993681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22926 + ... + 23314.

It is an arithmetic number, because the mean of its divisors is an integer number (371163).

Almost surely, 2^8993680 is an apocalyptic number.

8993680 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 8993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134890).

8993680 is an abundant number, since it is smaller than the sum of its proper divisors (13276100).

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

8993680 is a wasteful number, since it uses less digits than its factorization.

8993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 8993680 is about 2998.9464816832. The cubic root of 8993680 is about 207.9596815343.

The spelling of 8993680 in words is "eight million, nine hundred ninety-three thousand, six hundred eighty".