96467616 has 144 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 27247104.

The previous prime is 96467597. The next prime is 96467653. The reversal of 96467616 is 61676469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219525 + ... + 219963.

It is an arithmetic number, because the mean of its divisors is an integer number (2202200).

Almost surely, 2^96467616 is an apocalyptic number.

96467616 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 96467616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

96467616 is an abundant number, since it is smaller than the sum of its proper divisors (220649184).

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

96467616 is a wasteful number, since it uses less digits than its factorization.

96467616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 96467616 is about 9821.7929116837. The cubic root of 96467616 is about 458.6279468997.

The spelling of 96467616 in words is "ninety-six million, four hundred sixty-seven thousand, six hundred sixteen".