117882240 has 256 divisors, whose sum is σ = 440640000. Its totient is φ = 26793984.

The previous prime is 117882211. The next prime is 117882241. The reversal of 117882240 is 42288711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117882241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658471 + ... + 658649.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 2^117882240 is an apocalyptic number.

117882240 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 117882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

117882240 is an abundant number, since it is smaller than the sum of its proper divisors (322757760).

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

117882240 is an equidigital number, since it uses as much as digits as its factorization.

117882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 117882240 is about 10857.3587948451. The cubic root of 117882240 is about 490.3235957743.

It can be divided in two parts, 11788 and 2240, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 117882240 in words is "one hundred seventeen million, eight hundred eighty-two thousand, two hundred forty".