98172144 has 180 divisors, whose sum is σ = 334541584. Its totient is φ = 26320896.

The previous prime is 98172131. The next prime is 98172149. The reversal of 98172144 is 44127189.

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 a junction number, because it is equal to n+sod(n) for n = 98172099 and 98172108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98172149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291144 + ... + 291480.

Almost surely, 2^98172144 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 98172144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270792).

98172144 is an abundant number, since it is smaller than the sum of its proper divisors (236369440).

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

98172144 is a wasteful number, since it uses less digits than its factorization.

98172144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 98172144 is about 9908.1857067780. The cubic root of 98172144 is about 461.3134233187.

The spelling of 98172144 in words is "ninety-eight million, one hundred seventy-two thousand, one hundred forty-four".