849307872 has 96 divisors (see below), whose sum is σ = 2559513600. Its totient is φ = 241555968.

The previous prime is 849307853. The next prime is 849307909. The reversal of 849307872 is 278703948.

849307872 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 (96).

It is a super-2 number, since 2×849307872² = 1442647722882336768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 151129 + ... + 156647.

It is an arithmetic number, because the mean of its divisors is an integer number (26661600).

Almost surely, 2^849307872 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 849307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279756800).

849307872 is an abundant number, since it is smaller than the sum of its proper divisors (1710205728).

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

849307872 is a wasteful number, since it uses less digits than its factorization.

849307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 849307872 is about 29142.8871596484. The cubic root of 849307872 is about 947.0110572235.

The spelling of 849307872 in words is "eight hundred forty-nine million, three hundred seven thousand, eight hundred seventy-two".