820607256 has 96 divisors (see below), whose sum is σ = 2548166400. Its totient is φ = 233703360.

The previous prime is 820607239. The next prime is 820607267. The reversal of 820607256 is 652706028.

820607256 is a `hidden beast` number, since 8 + 20 + 607 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 820607256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164365 + ... + 169283.

It is an arithmetic number, because the mean of its divisors is an integer number (26543400).

Almost surely, 2^820607256 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 820607256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274083200).

820607256 is an abundant number, since it is smaller than the sum of its proper divisors (1727559144).

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

820607256 is a wasteful number, since it uses less digits than its factorization.

820607256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 820607256 is about 28646.2433139147. The cubic root of 820607256 is about 936.2211563761.

The spelling of 820607256 in words is "eight hundred twenty million, six hundred seven thousand, two hundred fifty-six".