96736640 has 256 divisors, whose sum is σ = 312560640. Its totient is φ = 27648000.

The previous prime is 96736609. The next prime is 96736693. The reversal of 96736640 is 4663769.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640565 + ... + 640715.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^96736640 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 96736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

96736640 is an abundant number, since it is smaller than the sum of its proper divisors (215824000).

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

96736640 is a wasteful number, since it uses less digits than its factorization.

96736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 96736640 is about 9835.4786360400. The cubic root of 96736640 is about 459.0538839948.

The spelling of 96736640 in words is "ninety-six million, seven hundred thirty-six thousand, six hundred forty".