98505600 has 192 divisors, whose sum is σ = 335930880. Its totient is φ = 25344000.

The previous prime is 98505587. The next prime is 98505601. The reversal of 98505600 is 650589.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98505601) 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 23 ways as a sum of consecutive naturals, for example, 297435 + ... + 297765.

It is an arithmetic number, because the mean of its divisors is an integer number (1749640).

Almost surely, 2^98505600 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 98505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167965440).

98505600 is an abundant number, since it is smaller than the sum of its proper divisors (237425280).

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

98505600 is a wasteful number, since it uses less digits than its factorization.

98505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 98505600 is about 9924.9987405541. The cubic root of 98505600 is about 461.8351391688.

The spelling of 98505600 in words is "ninety-eight million, five hundred five thousand, six hundred".