98640000 has 240 divisors, whose sum is σ = 357284070. Its totient is φ = 26112000.

The previous prime is 98639999. The next prime is 98640007. The reversal of 98640000 is 4689.

It can be written as a sum of positive squares in 5 ways, for example, as 2286144 + 96353856 = 1512^2 + 9816^2 .

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98640007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719932 + ... + 720068.

Almost surely, 2^98640000 is an apocalyptic number.

98640000 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 98640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178642035).

98640000 is an abundant number, since it is smaller than the sum of its proper divisors (258644070).

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

98640000 is a wasteful number, since it uses less digits than its factorization.

98640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 98640000 is about 9931.7672143481. The cubic root of 98640000 is about 462.0450847102.

Adding to 98640000 its reverse (4689), we get a palindrome (98644689).

The spelling of 98640000 in words is "ninety-eight million, six hundred forty thousand".