96627744 has 144 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 30551040.

The previous prime is 96627743. The next prime is 96627793. The reversal of 96627744 is 44772669.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (508032) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 96627744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96627743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705244 + ... + 705380.

It is an arithmetic number, because the mean of its divisors is an integer number (2009280).

Almost surely, 2^96627744 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 96627744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

96627744 is an abundant number, since it is smaller than the sum of its proper divisors (192708576).

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

96627744 is a wasteful number, since it uses less digits than its factorization.

96627744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 96627744 is about 9829.9412002311. The cubic root of 96627744 is about 458.8815676901.

The spelling of 96627744 in words is "ninety-six million, six hundred twenty-seven thousand, seven hundred forty-four".