981510096 has 320 divisors, whose sum is σ = 3318644736. Its totient is φ = 243302400.

The previous prime is 981510077. The next prime is 981510107. The reversal of 981510096 is 690015189.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4072536 + ... + 4072776.

Almost surely, 2^981510096 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 981510096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659322368).

981510096 is an abundant number, since it is smaller than the sum of its proper divisors (2337134640).

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

981510096 is a wasteful number, since it uses less digits than its factorization.

981510096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 981510096 is about 31329.0615244057. The cubic root of 981510096 is about 993.7983173058.

The spelling of 981510096 in words is "nine hundred eighty-one million, five hundred ten thousand, ninety-six".