814384120 has 64 divisors (see below), whose sum is σ = 2011845600. Its totient is φ = 294228480.

The previous prime is 814384117. The next prime is 814384183. The reversal of 814384120 is 21483418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63186 + ... + 74974.

Almost surely, 2^814384120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814384120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005922800).

814384120 is an abundant number, since it is smaller than the sum of its proper divisors (1197461480).

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

814384120 is a wasteful number, since it uses less digits than its factorization.

814384120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 814384120 is about 28537.4161409193. The cubic root of 814384120 is about 933.8485143311.

It can be divided in two parts, 81438 and 4120, that added together give a palindrome (85558).

The spelling of 814384120 in words is "eight hundred fourteen million, three hundred eighty-four thousand, one hundred twenty".