98346880 has 64 divisors (see below), whose sum is σ = 242743680. Its totient is φ = 38062080.

The previous prime is 98346839. The next prime is 98346881. The reversal of 98346880 is 8864389.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 98346880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98346881) 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 7 ways as a sum of consecutive naturals, for example, 17362 + ... + 22318.

It is an arithmetic number, because the mean of its divisors is an integer number (3792870).

Almost surely, 2^98346880 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 98346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121371840).

98346880 is an abundant number, since it is smaller than the sum of its proper divisors (144396800).

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

98346880 is a wasteful number, since it uses less digits than its factorization.

98346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 98346880 is about 9916.9995462337. Note that the first 3 decimals coincide. The cubic root of 98346880 is about 461.5869574113.

The spelling of 98346880 in words is "ninety-eight million, three hundred forty-six thousand, eight hundred eighty".