854955360 has 288 divisors, whose sum is σ = 3375328320. Its totient is φ = 193019904.

The previous prime is 854955323. The next prime is 854955377. The reversal of 854955360 is 63559458.

854955360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 896644 + ... + 897596.

It is an arithmetic number, because the mean of its divisors is an integer number (11719890).

Almost surely, 2^854955360 is an apocalyptic number.

854955360 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 854955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687664160).

854955360 is an abundant number, since it is smaller than the sum of its proper divisors (2520372960).

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

854955360 is a wasteful number, since it uses less digits than its factorization.

854955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 854955360 is about 29239.6196965692. The cubic root of 854955360 is about 949.1054774625.

The spelling of 854955360 in words is "eight hundred fifty-four million, nine hundred fifty-five thousand, three hundred sixty".