96729984 has 128 divisors (see below), whose sum is σ = 307591200. Its totient is φ = 29749248.

The previous prime is 96729967. The next prime is 96730003. The reversal of 96729984 is 48992769.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 96729984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43852 + ... + 46004.

Almost surely, 2^96729984 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 96729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153795600).

96729984 is an abundant number, since it is smaller than the sum of its proper divisors (210861216).

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

96729984 is a wasteful number, since it uses less digits than its factorization.

96729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2171 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 96729984 is about 9835.1402633618. The cubic root of 96729984 is about 459.0433552964.

The spelling of 96729984 in words is "ninety-six million, seven hundred twenty-nine thousand, nine hundred eighty-four".