98088160 has 96 divisors (see below), whose sum is σ = 242494560. Its totient is φ = 37459968.

The previous prime is 98088157. The next prime is 98088161. The reversal of 98088160 is 6188089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98088161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364506 + ... + 364774.

It is an arithmetic number, because the mean of its divisors is an integer number (2525985).

Almost surely, 2^98088160 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 98088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121247280).

98088160 is an abundant number, since it is smaller than the sum of its proper divisors (144406400).

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

98088160 is a wasteful number, since it uses less digits than its factorization.

98088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 98088160 is about 9903.9466880633. The cubic root of 98088160 is about 461.1818381320.

The spelling of 98088160 in words is "ninety-eight million, eighty-eight thousand, one hundred sixty".