117957648 has 80 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 38218752.

The previous prime is 117957647. The next prime is 117957661. The reversal of 117957648 is 846759711.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (423360) is a multiple of the sum of its prime divisors (490).

It is a junction number, because it is equal to n+sod(n) for n = 117957597 and 117957606.

It is not an unprimeable number, because it can be changed into a prime (117957647) 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 15 ways as a sum of consecutive naturals, for example, 506140 + ... + 506372.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^117957648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117957648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

117957648 is an abundant number, since it is smaller than the sum of its proper divisors (195415152).

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

117957648 is a wasteful number, since it uses less digits than its factorization.

117957648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 117957648 is about 10860.8309074398. The cubic root of 117957648 is about 490.4281250641.

The spelling of 117957648 in words is "one hundred seventeen million, nine hundred fifty-seven thousand, six hundred forty-eight".