988508160 has 312 divisors, whose sum is σ = 3557384064. Its totient is φ = 253624320.

The previous prime is 988508159. The next prime is 988508161. The reversal of 988508160 is 61805889.

988508160 is a `hidden beast` number, since 9 + 88 + 508 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (988508159) and next prime (988508161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988508161) 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 23 ways as a sum of consecutive naturals, for example, 5713834 + ... + 5714006.

It is an arithmetic number, because the mean of its divisors is an integer number (11401872).

Almost surely, 2^988508160 is an apocalyptic number.

988508160 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 988508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778692032).

988508160 is an abundant number, since it is smaller than the sum of its proper divisors (2568875904).

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

988508160 is a wasteful number, since it uses less digits than its factorization.

988508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 988508160 is about 31440.5496135166. The cubic root of 988508160 is about 996.1546186629.

The spelling of 988508160 in words is "nine hundred eighty-eight million, five hundred eight thousand, one hundred sixty".