117645840 has 120 divisors (see below), whose sum is σ = 425519640. Its totient is φ = 28956672.

The previous prime is 117645833. The next prime is 117645883. The reversal of 117645840 is 48546711.

It is a happy number.

117645840 is a `hidden beast` number, since 1 + 1 + 7 + 645 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 93083904 = 4956^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117645795 and 117645804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3076 + ... + 15644.

It is an arithmetic number, because the mean of its divisors is an integer number (3545997).

Almost surely, 2^117645840 is an apocalyptic number.

117645840 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 117645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212759820).

117645840 is an abundant number, since it is smaller than the sum of its proper divisors (307873800).

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

117645840 is a wasteful number, since it uses less digits than its factorization.

117645840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 117645840 is about 10846.4667057987. The cubic root of 117645840 is about 489.9956128998.

The spelling of 117645840 in words is "one hundred seventeen million, six hundred forty-five thousand, eight hundred forty".