985741824 has 80 divisors (see below), whose sum is σ = 2633938560. Its totient is φ = 327598080.

The previous prime is 985741819. The next prime is 985741829. The reversal of 985741824 is 428147589.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (985741819) and next prime (985741829).

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

It is not an unprimeable number, because it can be changed into a prime (985741829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661272 + ... + 662760.

It is an arithmetic number, because the mean of its divisors is an integer number (32924232).

Almost surely, 2^985741824 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 985741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316969280).

985741824 is an abundant number, since it is smaller than the sum of its proper divisors (1648196736).

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

985741824 is a wasteful number, since it uses less digits than its factorization.

985741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1925 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 985741824 is about 31396.5256676595. The cubic root of 985741824 is about 995.2245056224.

It can be divided in two parts, 9857 and 41824, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 985741824 in words is "nine hundred eighty-five million, seven hundred forty-one thousand, eight hundred twenty-four".