96924744 has 144 divisors (see below), whose sum is σ = 309975120. Its totient is φ = 27276480.

The previous prime is 96924743. The next prime is 96924767. The reversal of 96924744 is 44742969.

96924744 is a `hidden beast` number, since 96 + 92 + 474 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96924744.

It is not an unprimeable number, because it can be changed into a prime (96924743) 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 35 ways as a sum of consecutive naturals, for example, 292659 + ... + 292989.

It is an arithmetic number, because the mean of its divisors is an integer number (2152605).

Almost surely, 2^96924744 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 96924744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154987560).

96924744 is an abundant number, since it is smaller than the sum of its proper divisors (213050376).

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

96924744 is a wasteful number, since it uses less digits than its factorization.

96924744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 96924744 is about 9845.0365159302. The cubic root of 96924744 is about 459.3512341446.

The spelling of 96924744 in words is "ninety-six million, nine hundred twenty-four thousand, seven hundred forty-four".