849680 has 80 divisors (see below), whose sum is σ = 2291520. Its totient is φ = 290304.

The previous prime is 849649. The next prime is 849691. The reversal of 849680 is 86948.

849680 = T₄₃ + T₄₄ + ... + T₁₇₂.

849680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×849680² = 1443912204800, which contains 22 as substring.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 849680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19739 + ... + 19781.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁸⁴⁹⁶⁸⁰ is an apocalyptic number.

849680 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 849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760).

849680 is an abundant number, since it is smaller than the sum of its proper divisors (1441840).

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

849680 is a wasteful number, since it uses less digits than its factorization.

849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 849680 is about 921.7808850264. The cubic root of 849680 is about 94.7149349389.

The spelling of 849680 in words is "eight hundred forty-nine thousand, six hundred eighty".