96416 has 24 divisors (see below), whose sum is σ = 199584. Its totient is φ = 45760.

The previous prime is 96401. The next prime is 96419. The reversal of 96416 is 61469.

It is not an unprimeable number, because it can be changed into a prime (96419) by changing a digit.

96416 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 3 ways as a sum of consecutive naturals, for example, 671 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁹⁶⁴¹⁶ 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 96416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792).

96416 is an abundant number, since it is smaller than the sum of its proper divisors (103168).

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

96416 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 96416 = (66491)₁₁.

96416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 96416 is about 310.5092591212. The cubic root of 96416 is about 45.8546134424.

It can be divided in two parts, 96 and 416, that added together give a 9-th power (512 = 2⁹).

The spelling of 96416 in words is "ninety-six thousand, four hundred sixteen".