8256416 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 3225600.

The previous prime is 8256403. The next prime is 8256427. The reversal of 8256416 is 6146528.

8256416 = 5² + 6² + ... + 291².

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201356 + ... + 201396.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^8256416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

8256416 is an abundant number, since it is smaller than the sum of its proper divisors (12064864).

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

8256416 is a wasteful number, since it uses less digits than its factorization.

8256416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 8256416 is about 2873.3979884450. The cubic root of 8256416 is about 202.1143684601.

The spelling of 8256416 in words is "eight million, two hundred fifty-six thousand, four hundred sixteen".