981942016 has 72 divisors (see below), whose sum is σ = 2148652800. Its totient is φ = 444165120.

The previous prime is 981941959. The next prime is 981942061. The reversal of 981942016 is 610249189.

It is a super-2 number, since 2×981942016² = 1928420245572288512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 981942016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672295 + ... + 673753.

It is an arithmetic number, because the mean of its divisors is an integer number (29842400).

Almost surely, 2^981942016 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 981942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074326400).

981942016 is an abundant number, since it is smaller than the sum of its proper divisors (1166710784).

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

981942016 is a wasteful number, since it uses less digits than its factorization.

981942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 981942016 is about 31335.9540464304. The cubic root of 981942016 is about 993.9440717655.

The spelling of 981942016 in words is "nine hundred eighty-one million, nine hundred forty-two thousand, sixteen".