982785672 has 96 divisors (see below), whose sum is σ = 2917942560. Its totient is φ = 296352000.

The previous prime is 982785647. The next prime is 982785677. The reversal of 982785672 is 276587289.

It is a happy number.

982785672 is a `hidden beast` number, since 9 + 8 + 2 + 78 + 567 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (982785677) 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 23 ways as a sum of consecutive naturals, for example, 164172 + ... + 170052.

It is an arithmetic number, because the mean of its divisors is an integer number (30395235).

Almost surely, 2^982785672 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 982785672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458971280).

982785672 is an abundant number, since it is smaller than the sum of its proper divisors (1935156888).

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

982785672 is a wasteful number, since it uses less digits than its factorization.

982785672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6108 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 982785672 is about 31349.4126260764. The cubic root of 982785672 is about 994.2286462206.

The spelling of 982785672 in words is "nine hundred eighty-two million, seven hundred eighty-five thousand, six hundred seventy-two".