96939648 has 96 divisors (see below), whose sum is σ = 300458340. Its totient is φ = 29822976.

The previous prime is 96939643. The next prime is 96939677. The reversal of 96939648 is 84693969.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84492864 + 12446784 = 9192^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 96939594 and 96939603.

It is not an unprimeable number, because it can be changed into a prime (96939643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11740 + ... + 18212.

Almost surely, 2^96939648 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 96939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150229170).

96939648 is an abundant number, since it is smaller than the sum of its proper divisors (203518692).

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

96939648 is a wasteful number, since it uses less digits than its factorization.

96939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6491 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 96939648 is about 9845.7934164800. The cubic root of 96939648 is about 459.3747775648.

The spelling of 96939648 in words is "ninety-six million, nine hundred thirty-nine thousand, six hundred forty-eight".