99516840 has 128 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 25518080.

The previous prime is 99516839. The next prime is 99516841. The reversal of 99516840 is 4861599.

It is an interprime number because it is at equal distance from previous prime (99516839) and next prime (99516841).

It is a junction number, because it is equal to n+sod(n) for n = 99516792 and 99516801.

It is not an unprimeable number, because it can be changed into a prime (99516841) 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, 555871 + ... + 556049.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^99516840 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 99516840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

99516840 is an abundant number, since it is smaller than the sum of its proper divisors (210745560).

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

99516840 is a wasteful number, since it uses less digits than its factorization.

99516840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 99516840 is about 9975.8127488441. The cubic root of 99516840 is about 463.4101328221.

The spelling of 99516840 in words is "ninety-nine million, five hundred sixteen thousand, eight hundred forty".