8680320 has 192 divisors, whose sum is σ = 32937840. Its totient is φ = 2088960.

The previous prime is 8680313. The next prime is 8680327. The reversal of 8680320 is 230868.

8680320 = T₃₄₁ + T₃₄₂ + ... + T₄₅₀.

It is an interprime number because it is at equal distance from previous prime (8680313) and next prime (8680327).

It is a tau number, because it is divible by the number of its divisors (192).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8680327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63292 + ... + 63428.

Almost surely, 2^8680320 is an apocalyptic number.

8680320 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 8680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468920).

8680320 is an abundant number, since it is smaller than the sum of its proper divisors (24257520).

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

8680320 is a wasteful number, since it uses less digits than its factorization.

8680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8680320 is about 2946.2382795694. The cubic root of 8680320 is about 205.5158138682.

The spelling of 8680320 in words is "eight million, six hundred eighty thousand, three hundred twenty".