8059680 has 144 divisors (see below), whose sum is σ = 28599480. Its totient is φ = 2064384.

The previous prime is 8059669. The next prime is 8059693. The reversal of 8059680 is 869508.

8059680 = T₇₃₁ + T₇₃₂ + ... + T₇₅₉.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 2471184 = 2364^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41664 + ... + 41856.

Almost surely, 2^8059680 is an apocalyptic number.

8059680 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 8059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299740).

8059680 is an abundant number, since it is smaller than the sum of its proper divisors (20539800).

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

8059680 is a wasteful number, since it uses less digits than its factorization.

8059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8059680 is about 2838.9575551600. The cubic root of 8059680 is about 200.4961017312.

The spelling of 8059680 in words is "eight million, fifty-nine thousand, six hundred eighty".