96516 has 36 divisors (see below), whose sum is σ = 279552. Its totient is φ = 27504.

The previous prime is 96497. The next prime is 96517. The reversal of 96516 is 61569.

96516 is a `hidden beast` number, since 9 + 651 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 96516.

It is not an unprimeable number, because it can be changed into a prime (96517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61 + ... + 443.

2⁹⁶⁵¹⁶ 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 96516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776).

96516 is an abundant number, since it is smaller than the sum of its proper divisors (183036).

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

96516 is a wasteful number, since it uses less digits than its factorization.

96516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 96516 is about 310.6702431840. The cubic root of 96516 is about 45.8704610090.

The spelling of 96516 in words is "ninety-six thousand, five hundred sixteen".