99216000 has 384 divisors, whose sum is σ = 390957840. Its totient is φ = 23961600.

The previous prime is 99215999. The next prime is 99216001. The reversal of 99216000 is 61299.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99215999) and next prime (99216001).

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 98247744 = 984^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (99216001) 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 47 ways as a sum of consecutive naturals, for example, 1871974 + ... + 1872026.

Almost surely, 2^99216000 is an apocalyptic number.

99216000 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 99216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

99216000 is an abundant number, since it is smaller than the sum of its proper divisors (291741840).

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

99216000 is a wasteful number, since it uses less digits than its factorization.

99216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 99216000 is about 9960.7228653346. The cubic root of 99216000 is about 462.9426976216.

Adding to 99216000 its reverse (61299), we get a palindrome (99277299).

The spelling of 99216000 in words is "ninety-nine million, two hundred sixteen thousand".