96001584 has 140 divisors (see below), whose sum is σ = 306357624. Its totient is φ = 25815552.

The previous prime is 96001583. The next prime is 96001597. The reversal of 96001584 is 48510069.

96001584 is a modest number, since divided by 1584 gives 96 as remainder.

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96001583) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5647144 + ... + 5647160.

Almost surely, 2^96001584 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 96001584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153178812).

96001584 is an abundant number, since it is smaller than the sum of its proper divisors (210356040).

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

96001584 is an frugal number, since it uses more digits than its factorization.

96001584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 96001584 is about 9798.0398039608. The cubic root of 96001584 is about 457.8882153788. Note that the first 3 decimals are identical.

The spelling of 96001584 in words is "ninety-six million, one thousand, five hundred eighty-four".