96073164 has 144 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 27630720.

The previous prime is 96073163. The next prime is 96073207. The reversal of 96073164 is 46137069.

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

It is not an unprimeable number, because it can be changed into a prime (96073163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157467 + ... + 1157549.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^96073164 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 96073164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

96073164 is an abundant number, since it is smaller than the sum of its proper divisors (182779956).

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

96073164 is a wasteful number, since it uses less digits than its factorization.

96073164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 96073164 is about 9801.6918947700. The cubic root of 96073164 is about 458.0019895288.

The spelling of 96073164 in words is "ninety-six million, seventy-three thousand, one hundred sixty-four".