98580000 has 240 divisors, whose sum is σ = 340091136. Its totient is φ = 24960000.

The previous prime is 98579993. The next prime is 98580007. The reversal of 98580000 is 8589.

It is an interprime number because it is at equal distance from previous prime (98579993) and next prime (98580007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 98580000.

It is not an unprimeable number, because it can be changed into a prime (98580007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1859974 + ... + 1860026.

Almost surely, 2^98580000 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 98580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170045568).

98580000 is an abundant number, since it is smaller than the sum of its proper divisors (241511136).

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

98580000 is a wasteful number, since it uses less digits than its factorization.

98580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 98580000 is about 9928.7461444031. The cubic root of 98580000 is about 461.9513826017.

Adding to 98580000 its reverse (8589), we get a palindrome (98588589).

The spelling of 98580000 in words is "ninety-eight million, five hundred eighty thousand".