96418560 has 288 divisors, whose sum is σ = 374395392. Its totient is φ = 20643840.

The previous prime is 96418549. The next prime is 96418583. The reversal of 96418560 is 6581469.

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, 456855 + ... + 457065.

It is an arithmetic number, because the mean of its divisors is an integer number (1299984).

Almost surely, 2^96418560 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 96418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187197696).

96418560 is an abundant number, since it is smaller than the sum of its proper divisors (277976832).

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

96418560 is a wasteful number, since it uses less digits than its factorization.

96418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 96418560 is about 9819.2952903964. The cubic root of 96418560 is about 458.5501927675.

The spelling of 96418560 in words is "ninety-six million, four hundred eighteen thousand, five hundred sixty".