96914916 has 108 divisors (see below), whose sum is σ = 293081152. Its totient is φ = 26449632.

The previous prime is 96914911. The next prime is 96914921. The reversal of 96914916 is 61941969.

It is an interprime number because it is at equal distance from previous prime (96914911) and next prime (96914921).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96914911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132945 + ... + 133671.

Almost surely, 2^96914916 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 96914916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146540576).

96914916 is an abundant number, since it is smaller than the sum of its proper divisors (196166236).

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

96914916 is a wasteful number, since it uses less digits than its factorization.

96914916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 762 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 96914916 is about 9844.5373685105. The cubic root of 96914916 is about 459.3357078152.

The spelling of 96914916 in words is "ninety-six million, nine hundred fourteen thousand, nine hundred sixteen".