844993872 has 120 divisors (see below), whose sum is σ = 2492590464. Its totient is φ = 266694912.

The previous prime is 844993843. The next prime is 844993889. The reversal of 844993872 is 278399448.

844993872 is a `hidden beast` number, since 84 + 499 + 3 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339898 + ... + 342374.

Almost surely, 2^844993872 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 844993872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246295232).

844993872 is an abundant number, since it is smaller than the sum of its proper divisors (1647596592).

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

844993872 is a wasteful number, since it uses less digits than its factorization.

844993872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2608 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 844993872 is about 29068.7783025018. The cubic root of 844993872 is about 945.4049092061.

The spelling of 844993872 in words is "eight hundred forty-four million, nine hundred ninety-three thousand, eight hundred seventy-two".