1004124618 has 96 divisors (see below), whose sum is σ = 2640553344. Its totient is φ = 269208576.

The previous prime is 1004124617. The next prime is 1004124631. The reversal of 1004124618 is 8164214001.

It is a happy number.

1004124618 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 2 + 4 + 618 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1004124591 and 1004124600.

It is not an unprimeable number, because it can be changed into a prime (1004124617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171246 + ... + 1172102.

It is an arithmetic number, because the mean of its divisors is an integer number (27505764).

Almost surely, 2^1004124618 is an apocalyptic number.

1004124618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004124618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320276672).

1004124618 is an abundant number, since it is smaller than the sum of its proper divisors (1636428726).

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

1004124618 is a wasteful number, since it uses less digits than its factorization.

1004124618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1004124618 is about 31687.9254290968. The cubic root of 1004124618 is about 1001.3729867114.

Adding to 1004124618 its reverse (8164214001), we get a palindrome (9168338619).

The spelling of 1004124618 in words is "one billion, four million, one hundred twenty-four thousand, six hundred eighteen".