95616 has 48 divisors (see below), whose sum is σ = 278460. Its totient is φ = 31488.

The previous prime is 95603. The next prime is 95617. The reversal of 95616 is 61659.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 95616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95617) by changing a digit.

95616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1111 + ... + 1193.

2⁹⁵⁶¹⁶ is an apocalyptic number.

95616 is a gapful number since it is divisible by the number (96) 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 95616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230).

95616 is an abundant number, since it is smaller than the sum of its proper divisors (182844).

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

95616 is a wasteful number, since it uses less digits than its factorization.

95616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

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

The square root of 95616 is about 309.2183694414. The cubic root of 95616 is about 45.7274366926.

It can be divided in two parts, 9 and 5616, that added together give a square (5625 = 75²).

The spelling of 95616 in words is "ninety-five thousand, six hundred sixteen".