856503648 has 288 divisors, whose sum is σ = 3271387392. Its totient is φ = 205286400.

The previous prime is 856503631. The next prime is 856503677. The reversal of 856503648 is 846305658.

856503648 is a `hidden beast` number, since 85 + 6 + 503 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286803 + ... + 289773.

It is an arithmetic number, because the mean of its divisors is an integer number (11358984).

Almost surely, 2^856503648 is an apocalyptic number.

856503648 is a gapful number since it is divisible by the number (88) 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 856503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635693696).

856503648 is an abundant number, since it is smaller than the sum of its proper divisors (2414883744).

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

856503648 is a wasteful number, since it uses less digits than its factorization.

856503648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 856503648 is about 29266.0835780943. The cubic root of 856503648 is about 949.6780619197.

It can be divided in two parts, 85650 and 3648, that added together give a palindrome (89298).

The spelling of 856503648 in words is "eight hundred fifty-six million, five hundred three thousand, six hundred forty-eight".