98648820 has 192 divisors, whose sum is σ = 325140480. Its totient is φ = 24796800.

The previous prime is 98648819. The next prime is 98648831. The reversal of 98648820 is 2884689.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1188499 + ... + 1188581.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^98648820 is an apocalyptic number.

98648820 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 98648820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

98648820 is an abundant number, since it is smaller than the sum of its proper divisors (226491660).

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

98648820 is a wasteful number, since it uses less digits than its factorization.

98648820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 98648820 is about 9932.2112341613. The cubic root of 98648820 is about 462.0588557166.

The spelling of 98648820 in words is "ninety-eight million, six hundred forty-eight thousand, eight hundred twenty".