854689680 has 240 divisors, whose sum is σ = 3119800320. Its totient is φ = 208438272.

The previous prime is 854689679. The next prime is 854689681. The reversal of 854689680 is 86986458.

It is a happy number.

854689680 is a `hidden beast` number, since 8 + 546 + 8 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (854689679) and next prime (854689681).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (854689681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188361 + ... + 1189079.

It is an arithmetic number, because the mean of its divisors is an integer number (12999168).

Almost surely, 2^854689680 is an apocalyptic number.

854689680 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 854689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

854689680 is an abundant number, since it is smaller than the sum of its proper divisors (2265110640).

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

854689680 is a wasteful number, since it uses less digits than its factorization.

854689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 854689680 is about 29235.0761928202. The cubic root of 854689680 is about 949.0071547978.

The spelling of 854689680 in words is "eight hundred fifty-four million, six hundred eighty-nine thousand, six hundred eighty".