117765984 has 96 divisors (see below), whose sum is σ = 365541120. Its totient is φ = 32481792.

The previous prime is 117765983. The next prime is 117765997. The reversal of 117765984 is 489567711.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117765983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16467 + ... + 22509.

It is an arithmetic number, because the mean of its divisors is an integer number (3807720).

Almost surely, 2^117765984 is an apocalyptic number.

117765984 is a gapful number since it is divisible by the number (14) 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 117765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182770560).

117765984 is an abundant number, since it is smaller than the sum of its proper divisors (247775136).

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

117765984 is a wasteful number, since it uses less digits than its factorization.

117765984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6084 counting only the distinct ones).

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

The square root of 117765984 is about 10852.0036859559. The cubic root of 117765984 is about 490.1623563059.

It can be divided in two parts, 1177 and 65984, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 117765984 in words is "one hundred seventeen million, seven hundred sixty-five thousand, nine hundred eighty-four".