99839040 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 22419456.

The previous prime is 99839027. The next prime is 99839041. The reversal of 99839040 is 4093899.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 99838983 and 99839001.

It is not an unprimeable number, because it can be changed into a prime (99839041) 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, 557671 + ... + 557849.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^99839040 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 99839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

99839040 is an abundant number, since it is smaller than the sum of its proper divisors (268847040).

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

99839040 is a wasteful number, since it uses less digits than its factorization.

99839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 99839040 is about 9991.9487588758. The cubic root of 99839040 is about 463.9097129123.

The spelling of 99839040 in words is "ninety-nine million, eight hundred thirty-nine thousand, forty".