99005760 has 224 divisors, whose sum is σ = 399409920. Its totient is φ = 22616064.

The previous prime is 99005729. The next prime is 99005761. The reversal of 99005760 is 6750099.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99005761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59662 + ... + 61298.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^99005760 is an apocalyptic number.

99005760 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 99005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

99005760 is an abundant number, since it is smaller than the sum of its proper divisors (300404160).

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

99005760 is a wasteful number, since it uses less digits than its factorization.

99005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99005760 is about 9950.1638177469. The cubic root of 99005760 is about 462.6154725067.

The spelling of 99005760 in words is "ninety-nine million, five thousand, seven hundred sixty".