8709840 has 60 divisors (see below), whose sum is σ = 29252964. Its totient is φ = 2322432.

The previous prime is 8709839. The next prime is 8709871. The reversal of 8709840 is 489078.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 7354944 = 1164^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×8709840² = 151722625651200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8709795 and 8709804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5329 + ... + 6768.

Almost surely, 2^8709840 is an apocalyptic number.

8709840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8709840 is an abundant number, since it is smaller than the sum of its proper divisors (20543124).

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

8709840 is a wasteful number, since it uses less digits than its factorization.

8709840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12116 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8709840 is about 2951.2438055844. The cubic root of 8709840 is about 205.7485227408.

The spelling of 8709840 in words is "eight million, seven hundred nine thousand, eight hundred forty".