96980512 has 72 divisors (see below), whose sum is σ = 211960476. Its totient is φ = 43524096.

The previous prime is 96980491. The next prime is 96980537. The reversal of 96980512 is 21508969.

It can be written as a sum of positive squares in 2 ways, for example, as 96904336 + 76176 = 9844^2 + 276^2 .

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 11 ways as a sum of consecutive naturals, for example, 287608 + ... + 287944.

Almost surely, 2^96980512 is an apocalyptic number.

96980512 is a gapful number since it is divisible by the number (92) 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 96980512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105980238).

96980512 is an abundant number, since it is smaller than the sum of its proper divisors (114979964).

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

96980512 is a wasteful number, since it uses less digits than its factorization.

96980512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 96980512 is about 9847.8683987958. The cubic root of 96980512 is about 459.4393168743.

The spelling of 96980512 in words is "ninety-six million, nine hundred eighty thousand, five hundred twelve".