854822560 has 96 divisors (see below), whose sum is σ = 2212252560. Its totient is φ = 310689792.

The previous prime is 854822497. The next prime is 854822567. The reversal of 854822560 is 65228458.

854822560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 373107856 + 481714704 = 19316^2 + 21948^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (854822567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73462 + ... + 84298.

Almost surely, 2^854822560 is an apocalyptic number.

854822560 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 854822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106126280).

854822560 is an abundant number, since it is smaller than the sum of its proper divisors (1357430000).

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

854822560 is a wasteful number, since it uses less digits than its factorization.

854822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 854822560 is about 29237.3487170092. The cubic root of 854822560 is about 949.0563334799.

The spelling of 854822560 in words is "eight hundred fifty-four million, eight hundred twenty-two thousand, five hundred sixty".