98123616 has 72 divisors (see below), whose sum is σ = 287045640. Its totient is φ = 32610816.

The previous prime is 98123603. The next prime is 98123659. The reversal of 98123616 is 61632189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291000 + ... + 291336.

It is an arithmetic number, because the mean of its divisors is an integer number (3986745).

Almost surely, 2^98123616 is an apocalyptic number.

98123616 is a gapful number since it is divisible by the number (96) 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 98123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143522820).

98123616 is an abundant number, since it is smaller than the sum of its proper divisors (188922024).

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

98123616 is an equidigital number, since it uses as much as digits as its factorization.

98123616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 342 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 98123616 is about 9905.7365198152. The cubic root of 98123616 is about 461.2373993517.

The spelling of 98123616 in words is "ninety-eight million, one hundred twenty-three thousand, six hundred sixteen".