96924672 has 132 divisors (see below), whose sum is σ = 301768740. Its totient is φ = 29786112.

The previous prime is 96924671. The next prime is 96924683. The reversal of 96924672 is 27642969.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 46457856 = 7104^2 + 6816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96924671) 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 11 ways as a sum of consecutive naturals, for example, 119404 + ... + 120212.

Almost surely, 2^96924672 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 96924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150884370).

96924672 is an abundant number, since it is smaller than the sum of its proper divisors (204844068).

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

96924672 is a wasteful number, since it uses less digits than its factorization.

96924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 827 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 96924672 is about 9845.0328592646. The cubic root of 96924672 is about 459.3511204025.

The spelling of 96924672 in words is "ninety-six million, nine hundred twenty-four thousand, six hundred seventy-two".