96145280 has 128 divisors (see below), whose sum is σ = 286709760. Its totient is φ = 29952000.

The previous prime is 96145271. The next prime is 96145297. The reversal of 96145280 is 8254169.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 96145280.

It is a congruent number.

It is an unprimeable number.

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, 48305 + ... + 50255.

It is an arithmetic number, because the mean of its divisors is an integer number (2239920).

Almost surely, 2^96145280 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 96145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143354880).

96145280 is an abundant number, since it is smaller than the sum of its proper divisors (190564480).

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

96145280 is a wasteful number, since it uses less digits than its factorization.

96145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 96145280 is about 9805.3699573244. The cubic root of 96145280 is about 458.1165584997.

The spelling of 96145280 in words is "ninety-six million, one hundred forty-five thousand, two hundred eighty".