96727600 has 60 divisors (see below), whose sum is σ = 235406560. Its totient is φ = 38188800.

The previous prime is 96727577. The next prime is 96727601. The reversal of 96727600 is 672769.

It is a self number, because there is not a number n which added to its sum of digits gives 96727600.

It is not an unprimeable number, because it can be changed into a prime (96727601) 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 11 ways as a sum of consecutive naturals, for example, 30070 + ... + 33130.

Almost surely, 2^96727600 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 96727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117703280).

96727600 is an abundant number, since it is smaller than the sum of its proper divisors (138678960).

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

96727600 is a wasteful number, since it uses less digits than its factorization.

96727600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 96727600 is about 9835.0190645469. The cubic root of 96727600 is about 459.0395840826.

The spelling of 96727600 in words is "ninety-six million, seven hundred twenty-seven thousand, six hundred".