117863424 has 330 divisors, whose sum is σ = 423544770. Its totient is φ = 32514048.

The previous prime is 117863419. The next prime is 117863437. The reversal of 117863424 is 424368711.

117863424 is a `hidden beast` number, since 1 + 17 + 8 + 634 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 16257024 = 10080^2 + 4032^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4064242 + ... + 4064270.

It is an arithmetic number, because the mean of its divisors is an integer number (1283469).

Almost surely, 2^117863424 is an apocalyptic number.

117863424 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 117863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211772385).

117863424 is an abundant number, since it is smaller than the sum of its proper divisors (305681346).

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

117863424 is an equidigital number, since it uses as much as digits as its factorization.

117863424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 117863424 is about 10856.4922511832. The cubic root of 117863424 is about 490.2975064055.

The spelling of 117863424 in words is "one hundred seventeen million, eight hundred sixty-three thousand, four hundred twenty-four".