838072656 has 100 divisors (see below), whose sum is σ = 2465622324. Its totient is φ = 274752000.

The previous prime is 838072637. The next prime is 838072657. The reversal of 838072656 is 656270838.

838072656 is a `hidden beast` number, since 8 + 380 + 7 + 265 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 506250000 = 18216^2 + 22500^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838072657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73756 + ... + 84356.

Almost surely, 2^838072656 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 838072656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232811162).

838072656 is an abundant number, since it is smaller than the sum of its proper divisors (1627549668).

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

838072656 is a wasteful number, since it uses less digits than its factorization.

838072656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 838072656 is about 28949.4845549968. The cubic root of 838072656 is about 942.8166069940.

The spelling of 838072656 in words is "eight hundred thirty-eight million, seventy-two thousand, six hundred fifty-six".