838647680 has 64 divisors (see below), whose sum is σ = 2159136000. Its totient is φ = 309651456.

The previous prime is 838647679. The next prime is 838647683. The reversal of 838647680 is 86746838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838647683) 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 7 ways as a sum of consecutive naturals, for example, 42080 + ... + 58719.

It is an arithmetic number, because the mean of its divisors is an integer number (33736500).

Almost surely, 2^838647680 is an apocalyptic number.

838647680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838647680 is an abundant number, since it is smaller than the sum of its proper divisors (1320488320).

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

838647680 is a wasteful number, since it uses less digits than its factorization.

838647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100831 (or 100819 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 838647680 is about 28959.4143587193. The cubic root of 838647680 is about 943.0321882356.

The spelling of 838647680 in words is "eight hundred thirty-eight million, six hundred forty-seven thousand, six hundred eighty".