985531968 has 224 divisors, whose sum is σ = 3062142720. Its totient is φ = 310210560.

The previous prime is 985531961. The next prime is 985531993. The reversal of 985531968 is 869135589.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985531961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5444838 + ... + 5445018.

It is an arithmetic number, because the mean of its divisors is an integer number (13670280).

Almost surely, 2^985531968 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 985531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531071360).

985531968 is an abundant number, since it is smaller than the sum of its proper divisors (2076610752).

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

985531968 is a wasteful number, since it uses less digits than its factorization.

985531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 985531968 is about 31393.1834639305. The cubic root of 985531968 is about 995.1538756827.

The spelling of 985531968 in words is "nine hundred eighty-five million, five hundred thirty-one thousand, nine hundred sixty-eight".