117727488 has 108 divisors (see below), whose sum is σ = 348863788. Its totient is φ = 38154240.

The previous prime is 117727487. The next prime is 117727541. The reversal of 117727488 is 884727711.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 35426304 = 9072^2 + 5952^2 .

It is a super-2 number, since 2×117727488² = 27719522861580288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (117727481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84558 + ... + 85938.

Almost surely, 2^117727488 is an apocalyptic number.

117727488 is a gapful number since it is divisible by the number (18) 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 117727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174431894).

117727488 is an abundant number, since it is smaller than the sum of its proper divisors (231136300).

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

117727488 is a wasteful number, since it uses less digits than its factorization.

117727488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1423 counting only the distinct ones).

The product of its digits is 175616, while the sum is 45.

The square root of 117727488 is about 10850.2298593163. The cubic root of 117727488 is about 490.1089414860.

The spelling of 117727488 in words is "one hundred seventeen million, seven hundred twenty-seven thousand, four hundred eighty-eight".