855762048 has 192 divisors, whose sum is σ = 2680137720. Its totient is φ = 260997120.

The previous prime is 855762029. The next prime is 855762053. The reversal of 855762048 is 840267558.

It can be written as a sum of positive squares in 4 ways, for example, as 811566144 + 44195904 = 28488^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 855761994 and 855762012.

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, 724018 + ... + 725198.

Almost surely, 2^855762048 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 855762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340068860).

855762048 is an abundant number, since it is smaller than the sum of its proper divisors (1824375672).

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

855762048 is a wasteful number, since it uses less digits than its factorization.

855762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 855762048 is about 29253.4108780498. The cubic root of 855762048 is about 949.4038912194.

The spelling of 855762048 in words is "eight hundred fifty-five million, seven hundred sixty-two thousand, forty-eight".