98055360 has 336 divisors, whose sum is σ = 380548896. Its totient is φ = 23887872.

The previous prime is 98055343. The next prime is 98055367. The reversal of 98055360 is 6355089.

It is a super-2 number, since 2×98055360² = 19229707249459200, which contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 582 × 390 × 432.

It is not an unprimeable number, because it can be changed into a prime (98055367) 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 47 ways as a sum of consecutive naturals, for example, 1010832 + ... + 1010928.

It is an arithmetic number, because the mean of its divisors is an integer number (1132586).

Almost surely, 2^98055360 is an apocalyptic number.

98055360 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 98055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190274448).

98055360 is an abundant number, since it is smaller than the sum of its proper divisors (282493536).

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

98055360 is a wasteful number, since it uses less digits than its factorization.

98055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 98055360 is about 9902.2906440884. The cubic root of 98055360 is about 461.1304270657.

The spelling of 98055360 in words is "ninety-eight million, fifty-five thousand, three hundred sixty".