96640992 has 288 divisors, whose sum is σ = 351187200. Its totient is φ = 25256448.

The previous prime is 96640987. The next prime is 96641029. The reversal of 96640992 is 29904669.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3332434 + ... + 3332462.

It is an arithmetic number, because the mean of its divisors is an integer number (1219400).

Almost surely, 2^96640992 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 96640992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175593600).

96640992 is an abundant number, since it is smaller than the sum of its proper divisors (254546208).

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

96640992 is a wasteful number, since it uses less digits than its factorization.

96640992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 96640992 is about 9830.6150367106. The cubic root of 96640992 is about 458.9025381518.

The spelling of 96640992 in words is "ninety-six million, six hundred forty thousand, nine hundred ninety-two".