99750560 has 288 divisors, whose sum is σ = 318753792. Its totient is φ = 28753920.

The previous prime is 99750559. The next prime is 99750569. The reversal of 99750560 is 6505799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99750569) 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 47 ways as a sum of consecutive naturals, for example, 3217745 + ... + 3217775.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 2^99750560 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 99750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

99750560 is an abundant number, since it is smaller than the sum of its proper divisors (219003232).

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

99750560 is a wasteful number, since it uses less digits than its factorization.

99750560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 99750560 is about 9987.5202127455. The cubic root of 99750560 is about 463.7726293862.

The spelling of 99750560 in words is "ninety-nine million, seven hundred fifty thousand, five hundred sixty".