96661872 has 120 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 30610944.

The previous prime is 96661861. The next prime is 96661879. The reversal of 96661872 is 27816669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96661879) 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 23 ways as a sum of consecutive naturals, for example, 329758 + ... + 330050.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^96661872 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 96661872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

96661872 is an abundant number, since it is smaller than the sum of its proper divisors (187694928).

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

96661872 is a wasteful number, since it uses less digits than its factorization.

96661872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 96661872 is about 9831.6769678423. The cubic root of 96661872 is about 458.9355855326.

The spelling of 96661872 in words is "ninety-six million, six hundred sixty-one thousand, eight hundred seventy-two".