96135840 has 144 divisors (see below), whose sum is σ = 331812936. Its totient is φ = 25344000.

The previous prime is 96135773. The next prime is 96135847. The reversal of 96135840 is 4853169.

It can be written as a sum of positive squares in 4 ways, for example, as 96118416 + 17424 = 9804^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 96135795 and 96135804.

It is not an unprimeable number, because it can be changed into a prime (96135847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145110 + ... + 145770.

Almost surely, 2^96135840 is an apocalyptic number.

96135840 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 96135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165906468).

96135840 is an abundant number, since it is smaller than the sum of its proper divisors (235677096).

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

96135840 is a wasteful number, since it uses less digits than its factorization.

96135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96135840 is about 9804.8885766234. Note that the first 3 decimals coincide. The cubic root of 96135840 is about 458.1015646562.

The spelling of 96135840 in words is "ninety-six million, one hundred thirty-five thousand, eight hundred forty".