1004616648 has 128 divisors (see below), whose sum is σ = 3204403200. Its totient is φ = 285671232.

The previous prime is 1004616631. The next prime is 1004616653. The reversal of 1004616648 is 8466164001.

1004616648 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 6 + 1 + 6 + 648 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 341761 + ... + 344687.

It is an arithmetic number, because the mean of its divisors is an integer number (25034400).

Almost surely, 2^1004616648 is an apocalyptic number.

1004616648 is a gapful number since it is divisible by the number (18) 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 1004616648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602201600).

1004616648 is an abundant number, since it is smaller than the sum of its proper divisors (2199786552).

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

1004616648 is a wasteful number, since it uses less digits than its factorization.

1004616648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3166 counting only the distinct ones).

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

The square root of 1004616648 is about 31695.6881610102. The cubic root of 1004616648 is about 1001.5365205620.

The spelling of 1004616648 in words is "one billion, four million, six hundred sixteen thousand, six hundred forty-eight".