98124000 has 384 divisors, whose sum is σ = 376451712. Its totient is φ = 22118400.

The previous prime is 98123969. The next prime is 98124001. The reversal of 98124000 is 42189.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98124001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651982 + ... + 2652018.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^98124000 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 98124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

98124000 is an abundant number, since it is smaller than the sum of its proper divisors (278327712).

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

98124000 is a wasteful number, since it uses less digits than its factorization.

98124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 98124000 is about 9905.7559025044. The cubic root of 98124000 is about 461.2380010245.

Adding to 98124000 its reverse (42189), we get a palindrome (98166189).

The spelling of 98124000 in words is "ninety-eight million, one hundred twenty-four thousand".