96634944 has 140 divisors (see below), whose sum is σ = 327501504. Its totient is φ = 27599616.

The previous prime is 96634939. The next prime is 96634949. The reversal of 96634944 is 44943669.

It is a happy number.

96634944 is a `hidden beast` number, since 9 + 6 + 634 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (96634939) and next prime (96634949).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96634944.

It is not an unprimeable number, because it can be changed into a prime (96634949) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34957 + ... + 37619.

Almost surely, 2^96634944 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 96634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163750752).

96634944 is an abundant number, since it is smaller than the sum of its proper divisors (230866560).

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

96634944 is a wasteful number, since it uses less digits than its factorization.

96634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2675 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 96634944 is about 9830.3074214391. The cubic root of 96634944 is about 458.8929649179.

The spelling of 96634944 in words is "ninety-six million, six hundred thirty-four thousand, nine hundred forty-four".