981677760 has 336 divisors, whose sum is σ = 3721425120. Its totient is φ = 218480640.

The previous prime is 981677729. The next prime is 981677773. The reversal of 981677760 is 67776189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1928386 + ... + 1928894.

It is an arithmetic number, because the mean of its divisors is an integer number (11075670).

Almost surely, 2^981677760 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 981677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860712560).

981677760 is an abundant number, since it is smaller than the sum of its proper divisors (2739747360).

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

981677760 is a wasteful number, since it uses less digits than its factorization.

981677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 981677760 is about 31331.7372643140. The cubic root of 981677760 is about 993.8549017855.

The spelling of 981677760 in words is "nine hundred eighty-one million, six hundred seventy-seven thousand, seven hundred sixty".