848050560 has 768 divisors, whose sum is σ = 3742502400. Its totient is φ = 179159040.

The previous prime is 848050547. The next prime is 848050561. The reversal of 848050560 is 65050848.

It is a happy number.

848050560 is a `hidden beast` number, since 8 + 48 + 0 + 50 + 560 = 666.

It is a super-3 number, since 3×848050560³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848050561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20684140 + ... + 20684180.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2^848050560 is an apocalyptic number.

848050560 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 848050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871251200).

848050560 is an abundant number, since it is smaller than the sum of its proper divisors (2894451840).

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

848050560 is a wasteful number, since it uses less digits than its factorization.

848050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 848050560 is about 29121.3076629467. The cubic root of 848050560 is about 946.5435092931.

The spelling of 848050560 in words is "eight hundred forty-eight million, fifty thousand, five hundred sixty".