838872560 has 160 divisors (see below), whose sum is σ = 2142720000. Its totient is φ = 304432128.

The previous prime is 838872557. The next prime is 838872607. The reversal of 838872560 is 65278838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4215341 + ... + 4215539.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2^838872560 is an apocalyptic number.

838872560 is a gapful number since it is divisible by the number (80) 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 838872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

838872560 is an abundant number, since it is smaller than the sum of its proper divisors (1303847440).

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

838872560 is a wasteful number, since it uses less digits than its factorization.

838872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 838872560 is about 28963.2967736755. The cubic root of 838872560 is about 943.1164707979.

The spelling of 838872560 in words is "eight hundred thirty-eight million, eight hundred seventy-two thousand, five hundred sixty".