117647200 has 144 divisors (see below), whose sum is σ = 324822960. Its totient is φ = 41216000.

The previous prime is 117647149. The next prime is 117647209. The reversal of 117647200 is 2746711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117647209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254970 + ... + 255430.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^117647200 is an apocalyptic number.

117647200 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 117647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162411480).

117647200 is an abundant number, since it is smaller than the sum of its proper divisors (207175760).

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

117647200 is a wasteful number, since it uses less digits than its factorization.

117647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 117647200 is about 10846.5293988446. The cubic root of 117647200 is about 489.9975010285.

The spelling of 117647200 in words is "one hundred seventeen million, six hundred forty-seven thousand, two hundred".