8390656 has 48 divisors (see below), whose sum is σ = 17837820. Its totient is φ = 3932160.

The previous prime is 8390623. The next prime is 8390663. The reversal of 8390656 is 6560938.

8390656 is a nontrivial binomial coefficient, being equal to C(4097, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 640000 = 2784^2 + 800^2 .

It is a super-2 number, since 2×8390656² = 140806216220672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34696 + ... + 34936.

Almost surely, 2^8390656 is an apocalyptic number.

8390656 is the 4096-th triangular number.

8390656 is the 1366-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918910).

8390656 is an abundant number, since it is smaller than the sum of its proper divisors (9447164).

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

8390656 is a wasteful number, since it uses less digits than its factorization.

8390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 8390656 is about 2896.6629075541. The cubic root of 8390656 is about 203.2038687341.

The spelling of 8390656 in words is "eight million, three hundred ninety thousand, six hundred fifty-six".