854904960 has 576 divisors, whose sum is σ = 3714099480. Its totient is φ = 179601408.

The previous prime is 854904929. The next prime is 854904983. The reversal of 854904960 is 69409458.

It is a happy number.

854904960 is a `hidden beast` number, since 8 + 549 + 0 + 49 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 399680064 + 455224896 = 19992^2 + 21336^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669004 + ... + 3669236.

Almost surely, 2^854904960 is an apocalyptic number.

854904960 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 854904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857049740).

854904960 is an abundant number, since it is smaller than the sum of its proper divisors (2859194520).

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

854904960 is a wasteful number, since it uses less digits than its factorization.

854904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 854904960 is about 29238.7578395526. The cubic root of 854904960 is about 949.0868270322.

The spelling of 854904960 in words is "eight hundred fifty-four million, nine hundred four thousand, nine hundred sixty".