849873024 has 576 divisors, whose sum is σ = 3357856320. Its totient is φ = 200724480.

The previous prime is 849873019. The next prime is 849873041. The reversal of 849873024 is 420378948.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12684639 + ... + 12684705.

Almost surely, 2^849873024 is an apocalyptic number.

849873024 is a gapful number since it is divisible by the number (84) 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 849873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678928160).

849873024 is an abundant number, since it is smaller than the sum of its proper divisors (2507983296).

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

849873024 is a wasteful number, since it uses less digits than its factorization.

849873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 849873024 is about 29152.5817724606. The cubic root of 849873024 is about 947.2210660794.

The spelling of 849873024 in words is "eight hundred forty-nine million, eight hundred seventy-three thousand, twenty-four".