838696960 has 64 divisors (see below), whose sum is σ = 2013235200. Its totient is φ = 335413248.

The previous prime is 838696939. The next prime is 838696981. The reversal of 838696960 is 69696838.

It is an interprime number because it is at equal distance from previous prime (838696939) and next prime (838696981).

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

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 3 ways as a sum of consecutive naturals, for example, 161281 + ... + 166399.

It is an arithmetic number, because the mean of its divisors is an integer number (31456800).

Almost surely, 2^838696960 is an apocalyptic number.

838696960 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 838696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006617600).

838696960 is an abundant number, since it is smaller than the sum of its proper divisors (1174538240).

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

838696960 is an frugal number, since it uses more digits than its factorization.

838696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The square root of 838696960 is about 28960.2651921560. The cubic root of 838696960 is about 943.0506591291.

The spelling of 838696960 in words is "eight hundred thirty-eight million, six hundred ninety-six thousand, nine hundred sixty".