854560980 has 432 divisors, whose sum is σ = 3372379920. Its totient is φ = 173408256.

The previous prime is 854560937. The next prime is 854560997. The reversal of 854560980 is 89065458.

854560980 is a `hidden beast` number, since 8 + 5 + 4 + 560 + 9 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4955076 + 849605904 = 2226^2 + 29148^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3325012 + ... + 3325268.

It is an arithmetic number, because the mean of its divisors is an integer number (7806435).

Almost surely, 2^854560980 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 854560980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686189960).

854560980 is an abundant number, since it is smaller than the sum of its proper divisors (2517818940).

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

854560980 is a wasteful number, since it uses less digits than its factorization.

854560980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 854560980 is about 29232.8749869047. The cubic root of 854560980 is about 948.9595182678.

The spelling of 854560980 in words is "eight hundred fifty-four million, five hundred sixty thousand, nine hundred eighty".