981419824 has 120 divisors (see below), whose sum is σ = 2491554816. Its totient is φ = 369936000.

The previous prime is 981419807. The next prime is 981419833. The reversal of 981419824 is 428914189.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265509 + ... + 269179.

Almost surely, 2^981419824 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 981419824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245777408).

981419824 is an abundant number, since it is smaller than the sum of its proper divisors (1510134992).

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

981419824 is a wasteful number, since it uses less digits than its factorization.

981419824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3722 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 981419824 is about 31327.6207842217. The cubic root of 981419824 is about 993.7678489786.

The spelling of 981419824 in words is "nine hundred eighty-one million, four hundred nineteen thousand, eight hundred twenty-four".