981080064 has 288 divisors, whose sum is σ = 3127662720. Its totient is φ = 294912000.

The previous prime is 981080039. The next prime is 981080099. The reversal of 981080064 is 460080189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9713614 + ... + 9713714.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 2^981080064 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 981080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563831360).

981080064 is an abundant number, since it is smaller than the sum of its proper divisors (2146582656).

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

981080064 is a wasteful number, since it uses less digits than its factorization.

981080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 981080064 is about 31322.1976240493. The cubic root of 981080064 is about 993.6531574787.

The spelling of 981080064 in words is "nine hundred eighty-one million, eighty thousand, sixty-four".