1004666880 has 288 divisors, whose sum is σ = 3724527744. Its totient is φ = 226492416.

The previous prime is 1004666837. The next prime is 1004666893. The reversal of 1004666880 is 886664001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13762524 + ... + 13762596.

It is an arithmetic number, because the mean of its divisors is an integer number (12932388).

Almost surely, 2^1004666880 is an apocalyptic number.

1004666880 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 1004666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862263872).

1004666880 is an abundant number, since it is smaller than the sum of its proper divisors (2719860864).

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

1004666880 is an frugal number, since it uses more digits than its factorization.

1004666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1004666880 is about 31696.4805617280. The cubic root of 1004666880 is about 1001.5532129472.

The spelling of 1004666880 in words is "one billion, four million, six hundred sixty-six thousand, eight hundred eighty".