117648 has 60 divisors (see below), whose sum is σ = 354640. Its totient is φ = 36288.

The previous prime is 117643. The next prime is 117659. The reversal of 117648 is 846711.

It is a happy number.

117648 is a `hidden beast` number, since 1 + 17 + 648 = 666.

117648 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 7⁶-1.

117648 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117648.

It is not an unprimeable number, because it can be changed into a prime (117643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2715 + ... + 2757.

117648 is a Friedman number, since it can be written as 7^6-(4*(1+1))/8, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁴⁸ is an apocalyptic number.

117648 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 117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177320).

117648 is an abundant number, since it is smaller than the sum of its proper divisors (236992).

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

117648 is a wasteful number, since it uses less digits than its factorization.

117648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 117648 is about 342.9985422710. The cubic root of 117648 is about 48.9998611686. Note that the first 3 decimals are identical.

The spelling of 117648 in words is "one hundred seventeen thousand, six hundred forty-eight".