117825840 has 480 divisors, whose sum is σ = 487468800. Its totient is φ = 26127360.

The previous prime is 117825809. The next prime is 117825847. The reversal of 117825840 is 48528711.

117825840 is a `hidden beast` number, since 1 + 1 + 78 + 2 + 584 + 0 = 666.

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 = 117825795 and 117825804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117825847) 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, 4062946 + ... + 4062974.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^117825840 is an apocalyptic number.

117825840 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 117825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

117825840 is an abundant number, since it is smaller than the sum of its proper divisors (369642960).

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

117825840 is a wasteful number, since it uses less digits than its factorization.

117825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 117825840 is about 10854.7611673403. The cubic root of 117825840 is about 490.2453859090.

The spelling of 117825840 in words is "one hundred seventeen million, eight hundred twenty-five thousand, eight hundred forty".