854599680 has 384 divisors, whose sum is σ = 3325795200. Its totient is φ = 206438400.

The previous prime is 854599679. The next prime is 854599687. The reversal of 854599680 is 86995458.

It is a happy number.

854599680 is a `hidden beast` number, since 8 + 545 + 9 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×854599680² = 1460681226112204800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (854599687) 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, 3041140 + ... + 3041420.

It is an arithmetic number, because the mean of its divisors is an integer number (8660925).

Almost surely, 2^854599680 is an apocalyptic number.

854599680 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 854599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662897600).

854599680 is an abundant number, since it is smaller than the sum of its proper divisors (2471195520).

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

854599680 is a wasteful number, since it uses less digits than its factorization.

854599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 854599680 is about 29233.5369054105. The cubic root of 854599680 is about 948.9738430419.

The spelling of 854599680 in words is "eight hundred fifty-four million, five hundred ninety-nine thousand, six hundred eighty".