854045360 has 160 divisors (see below), whose sum is σ = 2404131840. Its totient is φ = 275917824.

The previous prime is 854045351. The next prime is 854045363. The reversal of 854045360 is 63540458.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 854045360.

It is not an unprimeable number, because it can be changed into a prime (854045363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697709 + ... + 698931.

It is an arithmetic number, because the mean of its divisors is an integer number (15025824).

Almost surely, 2^854045360 is an apocalyptic number.

854045360 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 854045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202065920).

854045360 is an abundant number, since it is smaller than the sum of its proper divisors (1550086480).

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

854045360 is a wasteful number, since it uses less digits than its factorization.

854045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 854045360 is about 29224.0544757226. The cubic root of 854045360 is about 948.7686206560.

The spelling of 854045360 in words is "eight hundred fifty-four million, forty-five thousand, three hundred sixty".