96837160 has 64 divisors (see below), whose sum is σ = 250024320. Its totient is φ = 33066240.

The previous prime is 96837133. The next prime is 96837163. The reversal of 96837160 is 6173869.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (96837163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88215 + ... + 89305.

It is an arithmetic number, because the mean of its divisors is an integer number (3906630).

Almost surely, 2^96837160 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 96837160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125012160).

96837160 is an abundant number, since it is smaller than the sum of its proper divisors (153187160).

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

96837160 is a wasteful number, since it uses less digits than its factorization.

96837160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 96837160 is about 9840.5873808427. The cubic root of 96837160 is about 459.2128314309.

The spelling of 96837160 in words is "ninety-six million, eight hundred thirty-seven thousand, one hundred sixty".