117077688 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 30405888.

The previous prime is 117077687. The next prime is 117077693. The reversal of 117077688 is 886770711.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117077687) 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, 700981 + ... + 701147.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^117077688 is an apocalyptic number.

117077688 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 117077688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

117077688 is an abundant number, since it is smaller than the sum of its proper divisors (279187272).

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

117077688 is a wasteful number, since it uses less digits than its factorization.

117077688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 117077688 is about 10820.2443595327. The cubic root of 117077688 is about 489.2055542408.

The spelling of 117077688 in words is "one hundred seventeen million, seventy-seven thousand, six hundred eighty-eight".