98388864 has 256 divisors, whose sum is σ = 342720000. Its totient is φ = 27772416.

The previous prime is 98388863. The next prime is 98388869. The reversal of 98388864 is 46888389.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 98388864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98388863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185367 + ... + 1185449.

It is an arithmetic number, because the mean of its divisors is an integer number (1338750).

Almost surely, 2^98388864 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 98388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

98388864 is an abundant number, since it is smaller than the sum of its proper divisors (244331136).

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

98388864 is an equidigital number, since it uses as much as digits as its factorization.

98388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 98388864 is about 9919.1160896523. The cubic root of 98388864 is about 461.6526314480.

The spelling of 98388864 in words is "ninety-eight million, three hundred eighty-eight thousand, eight hundred sixty-four".