117588240 has 480 divisors, whose sum is σ = 519073920. Its totient is φ = 24192000.

The previous prime is 117588217. The next prime is 117588241. The reversal of 117588240 is 42885711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 117588195 and 117588204.

It is not an unprimeable number, because it can be changed into a prime (117588241) 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 95 ways as a sum of consecutive naturals, for example, 1164190 + ... + 1164290.

It is an arithmetic number, because the mean of its divisors is an integer number (1081404).

Almost surely, 2^117588240 is an apocalyptic number.

117588240 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 117588240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259536960).

117588240 is an abundant number, since it is smaller than the sum of its proper divisors (401485680).

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

117588240 is a wasteful number, since it uses less digits than its factorization.

117588240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 117588240 is about 10843.8111381562. The cubic root of 117588240 is about 489.9156317328.

The spelling of 117588240 in words is "one hundred seventeen million, five hundred eighty-eight thousand, two hundred forty".