854957268 has 240 divisors, whose sum is σ = 2625727104. Its totient is φ = 239708160.

The previous prime is 854957227. The next prime is 854957281. The reversal of 854957268 is 862759458.

854957268 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 572 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6240496 + ... + 6240632.

Almost surely, 2^854957268 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 854957268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312863552).

854957268 is an abundant number, since it is smaller than the sum of its proper divisors (1770769836).

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

854957268 is a wasteful number, since it uses less digits than its factorization.

854957268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 854957268 is about 29239.6523235144. The cubic root of 854957268 is about 949.1061835001.

The spelling of 854957268 in words is "eight hundred fifty-four million, nine hundred fifty-seven thousand, two hundred sixty-eight".