844124160 has 208 divisors, whose sum is σ = 2948760000. Its totient is φ = 204472320.

The previous prime is 844124147. The next prime is 844124189. The reversal of 844124160 is 61421448.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675216 + ... + 676464.

Almost surely, 2^844124160 is an apocalyptic number.

844124160 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 844124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474380000).

844124160 is an abundant number, since it is smaller than the sum of its proper divisors (2104635840).

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

844124160 is a wasteful number, since it uses less digits than its factorization.

844124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 844124160 is about 29053.8148958102. The cubic root of 844124160 is about 945.0804444270.

The spelling of 844124160 in words is "eight hundred forty-four million, one hundred twenty-four thousand, one hundred sixty".