854706960 has 120 divisors (see below), whose sum is σ = 3039280920. Its totient is φ = 214511616.

The previous prime is 854706959. The next prime is 854706967. The reversal of 854706960 is 69607458.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 838449936 = 4032^2 + 28956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (854706967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22675 + ... + 47154.

It is an arithmetic number, because the mean of its divisors is an integer number (25327341).

Almost surely, 2^854706960 is an apocalyptic number.

854706960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

854706960 is an abundant number, since it is smaller than the sum of its proper divisors (2184573960).

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

854706960 is a wasteful number, since it uses less digits than its factorization.

854706960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69865 (or 69856 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 854706960 is about 29235.3717267286. The cubic root of 854706960 is about 949.0135503874.

The spelling of 854706960 in words is "eight hundred fifty-four million, seven hundred six thousand, nine hundred sixty".