96923736 has 128 divisors (see below), whose sum is σ = 331430400. Its totient is φ = 25557120.

The previous prime is 96923719. The next prime is 96923753. The reversal of 96923736 is 63732969.

It is an interprime number because it is at equal distance from previous prime (96923719) and next prime (96923753).

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 = 96923691 and 96923700.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17191 + ... + 22121.

It is an arithmetic number, because the mean of its divisors is an integer number (2589300).

Almost surely, 2^96923736 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 96923736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715200).

96923736 is an abundant number, since it is smaller than the sum of its proper divisors (234506664).

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

96923736 is a wasteful number, since it uses less digits than its factorization.

96923736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4956 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 96923736 is about 9844.9853224878. The cubic root of 96923736 is about 459.3496417489.

The spelling of 96923736 in words is "ninety-six million, nine hundred twenty-three thousand, seven hundred thirty-six".