981961344 has 768 divisors, whose sum is σ = 4009824000. Its totient is φ = 222953472.

The previous prime is 981961303. The next prime is 981961349. The reversal of 981961344 is 443169189.

It is a super-3 number, since 3×981961344³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 981961344.

It is not an unprimeable number, because it can be changed into a prime (981961349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33860722 + ... + 33860750.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^981961344 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 981961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

981961344 is an abundant number, since it is smaller than the sum of its proper divisors (3027862656).

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

981961344 is a wasteful number, since it uses less digits than its factorization.

981961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 981961344 is about 31336.2624446503. The cubic root of 981961344 is about 993.9505931366.

The spelling of 981961344 in words is "nine hundred eighty-one million, nine hundred sixty-one thousand, three hundred forty-four".