1004683680 has 1152 divisors, whose sum is σ = 4992938496. Its totient is φ = 176947200.

The previous prime is 1004683679. The next prime is 1004683699. The reversal of 1004683680 is 863864001.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 24504460 + ... + 24504500.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148).

Almost surely, 2^1004683680 is an apocalyptic number.

1004683680 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 1004683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496469248).

1004683680 is an abundant number, since it is smaller than the sum of its proper divisors (3988254816).

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

1004683680 is a wasteful number, since it uses less digits than its factorization.

1004683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1004683680 is about 31696.7455742699. The cubic root of 1004683680 is about 1001.5587955605.

The spelling of 1004683680 in words is "one billion, four million, six hundred eighty-three thousand, six hundred eighty".