96723648 has 252 divisors, whose sum is σ = 338785200. Its totient is φ = 26256384.

The previous prime is 96723619. The next prime is 96723673. The reversal of 96723648 is 84632769.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 649078 + ... + 649226.

Almost surely, 2^96723648 is an apocalyptic number.

96723648 is a gapful number since it is divisible by the number (98) 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 96723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169392600).

96723648 is an abundant number, since it is smaller than the sum of its proper divisors (242061552).

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

96723648 is a wasteful number, since it uses less digits than its factorization.

96723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

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

The square root of 96723648 is about 9834.8181477849. The cubic root of 96723648 is about 459.0333323367.

The spelling of 96723648 in words is "ninety-six million, seven hundred twenty-three thousand, six hundred forty-eight".