96896736 has 144 divisors (see below), whose sum is σ = 302977584. Its totient is φ = 30357504.

The previous prime is 96896707. The next prime is 96896771. The reversal of 96896736 is 63769869.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131826 + ... + 132558.

It is an arithmetic number, because the mean of its divisors is an integer number (2104011).

Almost surely, 2^96896736 is an apocalyptic number.

96896736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96896736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151488792).

96896736 is an abundant number, since it is smaller than the sum of its proper divisors (206080848).

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

96896736 is a wasteful number, since it uses less digits than its factorization.

96896736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 96896736 is about 9843.6139704887. The cubic root of 96896736 is about 459.3069841824.

The spelling of 96896736 in words is "ninety-six million, eight hundred ninety-six thousand, seven hundred thirty-six".