98585550 has 216 divisors, whose sum is σ = 327474576. Its totient is φ = 21127680.

The previous prime is 98585537. The next prime is 98585561. The reversal of 98585550 is 5558589.

98585550 is a `hidden beast` number, since 98 + 5 + 8 + 5 + 550 = 666.

It is a super-4 number, since 4×98585550⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 98585496 and 98585505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 374719 + ... + 374981.

It is an arithmetic number, because the mean of its divisors is an integer number (1516086).

Almost surely, 2^98585550 is an apocalyptic number.

98585550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98585550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163737288).

98585550 is an abundant number, since it is smaller than the sum of its proper divisors (228889026).

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

98585550 is a wasteful number, since it uses less digits than its factorization.

98585550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The square root of 98585550 is about 9929.0256319540. The cubic root of 98585550 is about 461.9600516423.

The spelling of 98585550 in words is "ninety-eight million, five hundred eighty-five thousand, five hundred fifty".