117820440 has 128 divisors (see below), whose sum is σ = 396288000. Its totient is φ = 31135104.

The previous prime is 117820427. The next prime is 117820441. The reversal of 117820440 is 44028711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117820441) 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 31 ways as a sum of consecutive naturals, for example, 136731 + ... + 137589.

It is an arithmetic number, because the mean of its divisors is an integer number (3096000).

Almost surely, 2^117820440 is an apocalyptic number.

117820440 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 117820440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198144000).

117820440 is an abundant number, since it is smaller than the sum of its proper divisors (278467560).

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

117820440 is a wasteful number, since it uses less digits than its factorization.

117820440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 117820440 is about 10854.5124257149. The cubic root of 117820440 is about 490.2378964214.

The spelling of 117820440 in words is "one hundred seventeen million, eight hundred twenty thousand, four hundred forty".