1004935680 has 640 divisors, whose sum is σ = 4274012160. Its totient is φ = 218972160.

The previous prime is 1004935663. The next prime is 1004935681. The reversal of 1004935680 is 865394001.

1004935680 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 93 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004935681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14999007 + ... + 14999073.

It is an arithmetic number, because the mean of its divisors is an integer number (6678144).

Almost surely, 2^1004935680 is an apocalyptic number.

1004935680 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 1004935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137006080).

1004935680 is an abundant number, since it is smaller than the sum of its proper divisors (3269076480).

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

1004935680 is an equidigital number, since it uses as much as digits as its factorization.

1004935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1004935680 is about 31700.7204965439. The cubic root of 1004935680 is about 1001.6425272936.

The spelling of 1004935680 in words is "one billion, four million, nine hundred thirty-five thousand, six hundred eighty".