96735996 has 216 divisors, whose sum is σ = 308730240. Its totient is φ = 25401600.

The previous prime is 96735983. The next prime is 96735997. The reversal of 96735996 is 69953769.

It is a super-2 number, since 2×96735996² = 18715705844224032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96735997) 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 71 ways as a sum of consecutive naturals, for example, 1585806 + ... + 1585866.

Almost surely, 2^96735996 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 96735996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

96735996 is an abundant number, since it is smaller than the sum of its proper divisors (211994244).

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

96735996 is a wasteful number, since it uses less digits than its factorization.

96735996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 96735996 is about 9835.4458973653. The cubic root of 96735996 is about 459.0528653137.

It can be divided in two parts, 967 and 35996, that added together give a palindrome (36963).

The spelling of 96735996 in words is "ninety-six million, seven hundred thirty-five thousand, nine hundred ninety-six".