1004560704 has 560 divisors, whose sum is σ = 3776593920. Its totient is φ = 257541120.

The previous prime is 1004560663. The next prime is 1004560717. The reversal of 1004560704 is 4070654001.

1004560704 is a `hidden beast` number, since 10 + 0 + 45 + 607 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21373609 + ... + 21373655.

Almost surely, 2^1004560704 is an apocalyptic number.

1004560704 is a gapful number since it is divisible by the number (14) 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 1004560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888296960).

1004560704 is an abundant number, since it is smaller than the sum of its proper divisors (2772033216).

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

1004560704 is a wasteful number, since it uses less digits than its factorization.

1004560704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1004560704 is about 31694.8056312071. The cubic root of 1004560704 is about 1001.5179293912.

The spelling of 1004560704 in words is "one billion, four million, five hundred sixty thousand, seven hundred four".