98638000 has 80 divisors (see below), whose sum is σ = 240832800. Its totient is φ = 39072000.

The previous prime is 98637991. The next prime is 98638009. The reversal of 98638000 is 83689.

It is an interprime number because it is at equal distance from previous prime (98637991) and next prime (98638009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (98638009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 297835 + ... + 298165.

It is an arithmetic number, because the mean of its divisors is an integer number (3010410).

Almost surely, 2^98638000 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 98638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120416400).

98638000 is an abundant number, since it is smaller than the sum of its proper divisors (142194800).

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

98638000 is a wasteful number, since it uses less digits than its factorization.

98638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 98638000 is about 9931.6665268222. Note that the first 3 decimals coincide. The cubic root of 98638000 is about 462.0419619189.

The spelling of 98638000 in words is "ninety-eight million, six hundred thirty-eight thousand".