8485968 has 20 divisors (see below), whose sum is σ = 21922208. Its totient is φ = 2828640.

The previous prime is 8485963. The next prime is 8485969. The reversal of 8485968 is 8695848.

It is a super-3 number, since 3×8485968³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 176791 = 8485968 / (8 + 4 + 8 + 5 + 9 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8485963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88348 + ... + 88443.

Almost surely, 2^8485968 is an apocalyptic number.

It is an amenable number.

8485968 is an abundant number, since it is smaller than the sum of its proper divisors (13436240).

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

8485968 is a wasteful number, since it uses less digits than its factorization.

8485968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176802 (or 176796 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 8485968 is about 2913.0684852918. The cubic root of 8485968 is about 203.9703917044.

It can be divided in two parts, 8485 and 968, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 8485968 in words is "eight million, four hundred eighty-five thousand, nine hundred sixty-eight".