98415000 has 200 divisors, whose sum is σ = 345873660. Its totient is φ = 26244000.

The previous prime is 98414983. The next prime is 98415007. The reversal of 98415000 is 51489.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98415007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 19682998 + ... + 19683002.

Almost surely, 2^98415000 is an apocalyptic number.

98415000 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 98415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172936830).

98415000 is an abundant number, since it is smaller than the sum of its proper divisors (247458660).

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

98415000 is an frugal number, since it uses more digits than its factorization.

98415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 98415000 is about 9920.4334582719. The cubic root of 98415000 is about 461.6935056027.

Adding to 98415000 its reverse (51489), we get a palindrome (98466489).

It can be divided in two parts, 9841 and 5000, that added together give a palindrome (14841).

The spelling of 98415000 in words is "ninety-eight million, four hundred fifteen thousand".