96516868 has 36 divisors (see below), whose sum is σ = 201806220. Its totient is φ = 40243392.

The previous prime is 96516863. The next prime is 96516887. The reversal of 96516868 is 86861569.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 59938564 = 6048^2 + 7742^2 .

It is a super-3 number, since 3×96516868³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (96516863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 598 + ... + 13906.

Almost surely, 2^96516868 is an apocalyptic number.

96516868 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 96516868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100903110).

96516868 is an abundant number, since it is smaller than the sum of its proper divisors (105289352).

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

96516868 is a wasteful number, since it uses less digits than its factorization.

96516868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13355 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

The square root of 96516868 is about 9824.2998732734. The cubic root of 96516868 is about 458.7059851799.

The spelling of 96516868 in words is "ninety-six million, five hundred sixteen thousand, eight hundred sixty-eight".