96469120 has 128 divisors (see below), whose sum is σ = 256452480. Its totient is φ = 34406400.

The previous prime is 96469111. The next prime is 96469129. The reversal of 96469120 is 2196469.

It is an interprime number because it is at equal distance from previous prime (96469111) and next prime (96469129).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×96469120² = 18612582227148800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96469120.

It is not an unprimeable number, because it can be changed into a prime (96469129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499744 + ... + 499936.

It is an arithmetic number, because the mean of its divisors is an integer number (2003535).

Almost surely, 2^96469120 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 96469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128226240).

96469120 is an abundant number, since it is smaller than the sum of its proper divisors (159983360).

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

96469120 is a wasteful number, since it uses less digits than its factorization.

96469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 96469120 is about 9821.8694758177. The cubic root of 96469120 is about 458.6303303346.

The spelling of 96469120 in words is "ninety-six million, four hundred sixty-nine thousand, one hundred twenty".