96883488 has 144 divisors (see below), whose sum is σ = 300638520. Its totient is φ = 29417472.

The previous prime is 96883481. The next prime is 96883499. The reversal of 96883488 is 88438869.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 35856144 = 7812^2 + 5988^2 .

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

It is a super-2 number, since 2×96883488² = 18772820494092288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (96883481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422958 + ... + 423186.

Almost surely, 2^96883488 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 96883488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150319260).

96883488 is an abundant number, since it is smaller than the sum of its proper divisors (203755032).

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

96883488 is a wasteful number, since it uses less digits than its factorization.

96883488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 96883488 is about 9842.9410239013. The cubic root of 96883488 is about 459.2860506383.

The spelling of 96883488 in words is "ninety-six million, eight hundred eighty-three thousand, four hundred eighty-eight".