849955680 has 384 divisors, whose sum is σ = 3451714560. Its totient is φ = 193715712.

The previous prime is 849955679. The next prime is 849955723. The reversal of 849955680 is 86559948.

It is a happy number.

849955680 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 556 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449267 + ... + 2449613.

It is an arithmetic number, because the mean of its divisors is an integer number (8988840).

Almost surely, 2^849955680 is an apocalyptic number.

849955680 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 849955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725857280).

849955680 is an abundant number, since it is smaller than the sum of its proper divisors (2601758880).

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

849955680 is an equidigital number, since it uses as much as digits as its factorization.

849955680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 364 counting only the distinct ones).

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

The square root of 849955680 is about 29153.9993825890. Note that the first 3 decimals coincide. The cubic root of 849955680 is about 947.2517730063.

The spelling of 849955680 in words is "eight hundred forty-nine million, nine hundred fifty-five thousand, six hundred eighty".