1004332680 has 192 divisors, whose sum is σ = 3568743360. Its totient is φ = 243454464.

The previous prime is 1004332661. The next prime is 1004332687. The reversal of 1004332680 is 862334001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1004332687) 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 47 ways as a sum of consecutive naturals, for example, 311959 + ... + 315161.

It is an arithmetic number, because the mean of its divisors is an integer number (18587205).

Almost surely, 2^1004332680 is an apocalyptic number.

1004332680 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 1004332680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784371680).

1004332680 is an abundant number, since it is smaller than the sum of its proper divisors (2564410680).

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

1004332680 is a wasteful number, since it uses less digits than its factorization.

1004332680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1004332680 is about 31691.2082445589. The cubic root of 1004332680 is about 1001.4421458821.

Adding to 1004332680 its reverse (862334001), we get a palindrome (1866666681).

The spelling of 1004332680 in words is "one billion, four million, three hundred thirty-two thousand, six hundred eighty".