96141960 has 96 divisors (see below), whose sum is σ = 323271000. Its totient is φ = 24751104.

The previous prime is 96141959. The next prime is 96141967. The reversal of 96141960 is 6914169.

It can be written as a sum of positive squares in 4 ways, for example, as 61496964 + 34644996 = 7842^2 + 5886^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96141967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5836 + ... + 15044.

Almost surely, 2^96141960 is an apocalyptic number.

96141960 is a gapful number since it is divisible by the number (90) 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 96141960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161635500).

96141960 is an abundant number, since it is smaller than the sum of its proper divisors (227129040).

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

96141960 is a wasteful number, since it uses less digits than its factorization.

96141960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 96141960 is about 9805.2006608738. The cubic root of 96141960 is about 458.1112853531. Note that the first 3 decimals are identical.

The spelling of 96141960 in words is "ninety-six million, one hundred forty-one thousand, nine hundred sixty".