99845760 has 512 divisors, whose sum is σ = 423014400. Its totient is φ = 19464192.

The previous prime is 99845731. The next prime is 99845771. The reversal of 99845760 is 6754899.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4341109 + ... + 4341131.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^99845760 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 99845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

99845760 is an abundant number, since it is smaller than the sum of its proper divisors (323168640).

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

99845760 is a wasteful number, since it uses less digits than its factorization.

99845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 99845760 is about 9992.2850239572. The cubic root of 99845760 is about 463.9201210096.

The spelling of 99845760 in words is "ninety-nine million, eight hundred forty-five thousand, seven hundred sixty".