98616900 has 72 divisors (see below), whose sum is σ = 286620544. Its totient is φ = 26179200.

The previous prime is 98616887. The next prime is 98616913. The reversal of 98616900 is 961689.

It is an interprime number because it is at equal distance from previous prime (98616887) and next prime (98616913).

It is a super-2 number, since 2×98616900² = 19450585931220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80694 + ... + 81906.

Almost surely, 2^98616900 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 98616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143310272).

98616900 is an abundant number, since it is smaller than the sum of its proper divisors (188003644).

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

98616900 is a wasteful number, since it uses less digits than its factorization.

98616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 98616900 is about 9930.6042112250. The cubic root of 98616900 is about 462.0090138981.

It can be divided in two parts, 9861 and 6900, that added together give a palindrome (16761).

The spelling of 98616900 in words is "ninety-eight million, six hundred sixteen thousand, nine hundred".