8685040 has 80 divisors (see below), whose sum is σ = 24873408. Its totient is φ = 2746368.

The previous prime is 8685031. The next prime is 8685041. The reversal of 8685040 is 405868.

8685040 = 234² + 235² + ... + 338².

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8684993 and 8685011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8685041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6684 + ... + 7876.

Almost surely, 2^8685040 is an apocalyptic number.

8685040 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 8685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436704).

8685040 is an abundant number, since it is smaller than the sum of its proper divisors (16188368).

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

8685040 is a wasteful number, since it uses less digits than its factorization.

8685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8685040 is about 2947.0391921384. The cubic root of 8685040 is about 205.5530574596.

The spelling of 8685040 in words is "eight million, six hundred eighty-five thousand, forty".