117765648 has 480 divisors, whose sum is σ = 476636160. Its totient is φ = 26127360.

The previous prime is 117765643. The next prime is 117765673. The reversal of 117765648 is 846567711.

117765648 is a `hidden beast` number, since 1 + 17 + 76 + 564 + 8 = 666.

It is a super-3 number, since 3×117765648³ (a number of 25 digits) contains 333 as substring.

Its product of digits (282240) is a multiple of the sum of its prime divisors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117765643) 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 95 ways as a sum of consecutive naturals, for example, 2738715 + ... + 2738757.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^117765648 is an apocalyptic number.

117765648 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 117765648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238318080).

117765648 is an abundant number, since it is smaller than the sum of its proper divisors (358870512).

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

117765648 is a wasteful number, since it uses less digits than its factorization.

117765648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 117765648 is about 10851.9882049328. The cubic root of 117765648 is about 490.1618901421.

It can be divided in two parts, 11776 and 5648, that added together give a square (17424 = 132²).

The spelling of 117765648 in words is "one hundred seventeen million, seven hundred sixty-five thousand, six hundred forty-eight".