96411168 has 192 divisors, whose sum is σ = 338688000. Its totient is φ = 26065152.

The previous prime is 96411163. The next prime is 96411179. The reversal of 96411168 is 86111469.

It is a happy number.

96411168 is a `hidden beast` number, since 9 + 641 + 1 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×96411168² = 18590226630248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (96411163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114493 + ... + 115331.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^96411168 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 96411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

96411168 is an abundant number, since it is smaller than the sum of its proper divisors (242276832).

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

96411168 is a wasteful number, since it uses less digits than its factorization.

96411168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 96411168 is about 9818.9188814248. The cubic root of 96411168 is about 458.5384741051.

The spelling of 96411168 in words is "ninety-six million, four hundred eleven thousand, one hundred sixty-eight".