117888480 has 192 divisors, whose sum is σ = 427291200. Its totient is φ = 30320640.

The previous prime is 117888479. The next prime is 117888487. The reversal of 117888480 is 84888711.

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 (117888487) 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 31 ways as a sum of consecutive naturals, for example, 124810 + ... + 125750.

It is an arithmetic number, because the mean of its divisors is an integer number (2225475).

Almost surely, 2^117888480 is an apocalyptic number.

117888480 is a gapful number since it is divisible by the number (10) 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 117888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213645600).

117888480 is an abundant number, since it is smaller than the sum of its proper divisors (309402720).

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

117888480 is a wasteful number, since it uses less digits than its factorization.

117888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 117888480 is about 10857.6461537481. The cubic root of 117888480 is about 490.3322472478.

The spelling of 117888480 in words is "one hundred seventeen million, eight hundred eighty-eight thousand, four hundred eighty".