989095968 has 288 divisors, whose sum is σ = 3419781120. Its totient is φ = 277240320.

The previous prime is 989095967. The next prime is 989095993. The reversal of 989095968 is 869590989.

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 (63).

It is not an unprimeable number, because it can be changed into a prime (989095967) by changing a digit.

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, 2582305 + ... + 2582687.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^989095968 is an apocalyptic number.

989095968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

989095968 is an abundant number, since it is smaller than the sum of its proper divisors (2430685152).

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

989095968 is a wasteful number, since it uses less digits than its factorization.

989095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The square root of 989095968 is about 31449.8961524518. The cubic root of 989095968 is about 996.3520311721.

The spelling of 989095968 in words is "nine hundred eighty-nine million, ninety-five thousand, nine hundred sixty-eight".