839748960 has 144 divisors (see below), whose sum is σ = 2919977424. Its totient is φ = 219687936.

The previous prime is 839748919. The next prime is 839749007. The reversal of 839748960 is 69847938.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 839748897 and 839748906.

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, 70819 + ... + 81821.

It is an arithmetic number, because the mean of its divisors is an integer number (20277621).

Almost surely, 2^839748960 is an apocalyptic number.

839748960 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 839748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459988712).

839748960 is an abundant number, since it is smaller than the sum of its proper divisors (2080228464).

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

839748960 is a wasteful number, since it uses less digits than its factorization.

839748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 839748960 is about 28978.4223173036. The cubic root of 839748960 is about 943.4447922619. Note that the first 3 decimals are identical.

The spelling of 839748960 in words is "eight hundred thirty-nine million, seven hundred forty-eight thousand, nine hundred sixty".