98638560 has 288 divisors, whose sum is σ = 363242880. Its totient is φ = 25256448.

The previous prime is 98638511. The next prime is 98638577. The reversal of 98638560 is 6583689.

98638560 is a `hidden beast` number, since 9 + 8 + 638 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671811 + ... + 1671869.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^98638560 is an apocalyptic number.

98638560 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 98638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

98638560 is an abundant number, since it is smaller than the sum of its proper divisors (264604320).

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

98638560 is a wasteful number, since it uses less digits than its factorization.

98638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 98638560 is about 9931.6947194323. The cubic root of 98638560 is about 462.0428363047.

The spelling of 98638560 in words is "ninety-eight million, six hundred thirty-eight thousand, five hundred sixty".