117414920 has 96 divisors (see below), whose sum is σ = 320950080. Its totient is φ = 37862400.

The previous prime is 117414917. The next prime is 117414923. The reversal of 117414920 is 29414711.

It is an interprime number because it is at equal distance from previous prime (117414917) and next prime (117414923).

It is not an unprimeable number, because it can be changed into a prime (117414923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80195 + ... + 81645.

It is an arithmetic number, because the mean of its divisors is an integer number (3343230).

Almost surely, 2^117414920 is an apocalyptic number.

117414920 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 117414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160475040).

117414920 is an abundant number, since it is smaller than the sum of its proper divisors (203535160).

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

117414920 is a wasteful number, since it uses less digits than its factorization.

117414920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 117414920 is about 10835.8165359146. The cubic root of 117414920 is about 489.6748085279.

It can be divided in two parts, 11741 and 4920, that added together give a palindrome (16661).

The spelling of 117414920 in words is "one hundred seventeen million, four hundred fourteen thousand, nine hundred twenty".