96917760 has 216 divisors, whose sum is σ = 344373120. Its totient is φ = 25153536.

The previous prime is 96917759. The next prime is 96917771. The reversal of 96917760 is 6771969.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541351 + ... + 541529.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2^96917760 is an apocalyptic number.

96917760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560).

96917760 is an abundant number, since it is smaller than the sum of its proper divisors (247455360).

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

96917760 is a wasteful number, since it uses less digits than its factorization.

96917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 96917760 is about 9844.6818130400. The cubic root of 96917760 is about 459.3402008902.

The spelling of 96917760 in words is "ninety-six million, nine hundred seventeen thousand, seven hundred sixty".