820182414 has 8 divisors (see below), whose sum is σ = 1640364840. Its totient is φ = 273394136.

The previous prime is 820182413. The next prime is 820182487. The reversal of 820182414 is 414281028.

It is a sphenic number, since it is the product of 3 distinct primes.

820182414 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820182413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68348529 + ... + 68348540.

It is an arithmetic number, because the mean of its divisors is an integer number (205045605).

Almost surely, 2^820182414 is an apocalyptic number.

820182414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

820182414 is a wasteful number, since it uses less digits than its factorization.

820182414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136697074.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 820182414 is about 28638.8270360362. The cubic root of 820182414 is about 936.0595627411.

The spelling of 820182414 in words is "eight hundred twenty million, one hundred eighty-two thousand, four hundred fourteen".