98547600 has 120 divisors (see below), whose sum is σ = 323541792. Its totient is φ = 25625600.

The previous prime is 98547599. The next prime is 98547601. The reversal of 98547600 is 674589.

It is an interprime number because it is at equal distance from previous prime (98547599) and next prime (98547601).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (98547601) by changing a digit.

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, 48199 + ... + 50201.

Almost surely, 2^98547600 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 98547600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161770896).

98547600 is an abundant number, since it is smaller than the sum of its proper divisors (224994192).

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

98547600 is a wasteful number, since it uses less digits than its factorization.

98547600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 98547600 is about 9927.1143843516. The cubic root of 98547600 is about 461.9007676533.

The spelling of 98547600 in words is "ninety-eight million, five hundred forty-seven thousand, six hundred".