96641920 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 36126720.

The previous prime is 96641903. The next prime is 96641927. The reversal of 96641920 is 2914669.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 96641920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96641927) 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, 760897 + ... + 761023.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^96641920 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 96641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

96641920 is an abundant number, since it is smaller than the sum of its proper divisors (150116480).

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

96641920 is a wasteful number, since it uses less digits than its factorization.

96641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 96641920 is about 9830.6622360856. The cubic root of 96641920 is about 458.9040070253.

The spelling of 96641920 in words is "ninety-six million, six hundred forty-one thousand, nine hundred twenty".