853816680 has 128 divisors (see below), whose sum is σ = 2995920000. Its totient is φ = 215695872.

The previous prime is 853816669. The next prime is 853816703. The reversal of 853816680 is 86618358.

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 31 ways as a sum of consecutive naturals, for example, 285 + ... + 41324.

It is an arithmetic number, because the mean of its divisors is an integer number (23405625).

Almost surely, 2^853816680 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 853816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497960000).

853816680 is an abundant number, since it is smaller than the sum of its proper divisors (2142103320).

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

853816680 is a wasteful number, since it uses less digits than its factorization.

853816680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41648 (or 41638 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 853816680 is about 29220.1416834347. The cubic root of 853816680 is about 948.6839320333.

The spelling of 853816680 in words is "eight hundred fifty-three million, eight hundred sixteen thousand, six hundred eighty".