981685952 has 56 divisors (see below), whose sum is σ = 2105564496. Its totient is φ = 451427328.

The previous prime is 981685951. The next prime is 981685979. The reversal of 981685952 is 259586189.

It is a junction number, because it is equal to n+sod(n) for n = 981685894 and 981685903.

It is not an unprimeable number, because it can be changed into a prime (981685951) 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 7 ways as a sum of consecutive naturals, for example, 241763 + ... + 245789.

It is an arithmetic number, because the mean of its divisors is an integer number (37599366).

Almost surely, 2^981685952 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 981685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052782248).

981685952 is an abundant number, since it is smaller than the sum of its proper divisors (1123878544).

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

981685952 is a wasteful number, since it uses less digits than its factorization.

981685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4335 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 53.

The square root of 981685952 is about 31331.8679941047. The cubic root of 981685952 is about 993.8576663168.

The spelling of 981685952 in words is "nine hundred eighty-one million, six hundred eighty-five thousand, nine hundred fifty-two".