96441768 has 96 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 31135104.

The previous prime is 96441727. The next prime is 96441773. The reversal of 96441768 is 86714469.

It is a super-2 number, since 2×96441768² = 18602029229931648, which contains 22 as substring.

Its product of digits (290304) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484533 + ... + 484731.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2^96441768 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 96441768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

96441768 is an abundant number, since it is smaller than the sum of its proper divisors (173126232).

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

96441768 is a wasteful number, since it uses less digits than its factorization.

96441768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 96441768 is about 9820.4769741597. The cubic root of 96441768 is about 458.5869809099.

The spelling of 96441768 in words is "ninety-six million, four hundred forty-one thousand, seven hundred sixty-eight".