96616032 has 96 divisors (see below), whose sum is σ = 273847392. Its totient is φ = 29712384.

The previous prime is 96615983. The next prime is 96616033. The reversal of 96616032 is 23061669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 96615984 and 96616002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96616033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85938 + ... + 87054.

It is an arithmetic number, because the mean of its divisors is an integer number (2852577).

Almost surely, 2^96616032 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 96616032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136923696).

96616032 is an abundant number, since it is smaller than the sum of its proper divisors (177231360).

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

96616032 is a wasteful number, since it uses less digits than its factorization.

96616032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 96616032 is about 9829.3454512495. The cubic root of 96616032 is about 458.8630269900.

The spelling of 96616032 in words is "ninety-six million, six hundred sixteen thousand, thirty-two".