99995616 has 144 divisors (see below), whose sum is σ = 327940704. Its totient is φ = 28311552.

The previous prime is 99995603. The next prime is 99995629. The reversal of 99995616 is 61659999.

It is an interprime number because it is at equal distance from previous prime (99995603) and next prime (99995629).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388960 + ... + 389216.

It is an arithmetic number, because the mean of its divisors is an integer number (2277366).

Almost surely, 2^99995616 is an apocalyptic number.

99995616 is a gapful number since it is divisible by the number (96) 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 99995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163970352).

99995616 is an abundant number, since it is smaller than the sum of its proper divisors (227945088).

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

99995616 is a wasteful number, since it uses less digits than its factorization.

99995616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 54.

The square root of 99995616 is about 9999.7807975975. The cubic root of 99995616 is about 464.1521003537.

The spelling of 99995616 in words is "ninety-nine million, nine hundred ninety-five thousand, six hundred sixteen".