98172360 has 192 divisors, whose sum is σ = 375036480. Its totient is φ = 21957120.

The previous prime is 98172341. The next prime is 98172367. The reversal of 98172360 is 6327189.

98172360 = 54³ + 55³ + ... + 141³.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98172367) 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 47 ways as a sum of consecutive naturals, for example, 50527 + ... + 52433.

It is an arithmetic number, because the mean of its divisors is an integer number (1953315).

Almost surely, 2^98172360 is an apocalyptic number.

98172360 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 98172360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

98172360 is an abundant number, since it is smaller than the sum of its proper divisors (276864120).

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

98172360 is a wasteful number, since it uses less digits than its factorization.

98172360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 98172360 is about 9908.1966068503. The cubic root of 98172360 is about 461.3137616483.

The spelling of 98172360 in words is "ninety-eight million, one hundred seventy-two thousand, three hundred sixty".