96787872 has 108 divisors (see below), whose sum is σ = 286432146. Its totient is φ = 32192640.

The previous prime is 96787871. The next prime is 96787891. The reversal of 96787872 is 27878769.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 8503056 = 9396^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (96787871) 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 17 ways as a sum of consecutive naturals, for example, 209722 + ... + 210182.

Almost surely, 2^96787872 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 96787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216073).

96787872 is an abundant number, since it is smaller than the sum of its proper divisors (189644274).

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

96787872 is an frugal number, since it uses more digits than its factorization.

96787872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 466 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 96787872 is about 9838.0827400465. The cubic root of 96787872 is about 459.1349084410.

The spelling of 96787872 in words is "ninety-six million, seven hundred eighty-seven thousand, eight hundred seventy-two".