96685600 has 72 divisors (see below), whose sum is σ = 257514768. Its totient is φ = 35155200.

The previous prime is 96685591. The next prime is 96685607. The reversal of 96685600 is 658669.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (96685607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3307 + ... + 14293.

It is an arithmetic number, because the mean of its divisors is an integer number (3576594).

Almost surely, 2^96685600 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 96685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128757384).

96685600 is an abundant number, since it is smaller than the sum of its proper divisors (160829168).

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

96685600 is a wasteful number, since it uses less digits than its factorization.

96685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 96685600 is about 9832.8836055351. The cubic root of 96685600 is about 458.9731347490.

The spelling of 96685600 in words is "ninety-six million, six hundred eighty-five thousand, six hundred".