96509840 has 160 divisors (see below), whose sum is σ = 274268160. Its totient is φ = 30868992.

The previous prime is 96509839. The next prime is 96509879. The reversal of 96509840 is 4890569.

It is a nialpdrome in base 14.

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, 759857 + ... + 759983.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 2^96509840 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 96509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137134080).

96509840 is an abundant number, since it is smaller than the sum of its proper divisors (177758320).

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

96509840 is a wasteful number, since it uses less digits than its factorization.

96509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 96509840 is about 9823.9421822403. The cubic root of 96509840 is about 458.6948511540.

The spelling of 96509840 in words is "ninety-six million, five hundred nine thousand, eight hundred forty".