1004564736 has 216 divisors, whose sum is σ = 3337443200. Its totient is φ = 284663808.

The previous prime is 1004564707. The next prime is 1004564747. The reversal of 1004564736 is 6374654001.

It is a happy number.

1004564736 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 647 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1004564736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3209316 + ... + 3209628.

Almost surely, 2^1004564736 is an apocalyptic number.

1004564736 is a gapful number since it is divisible by the number (16) 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 1004564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668721600).

1004564736 is an abundant number, since it is smaller than the sum of its proper divisors (2332878464).

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

1004564736 is a wasteful number, since it uses less digits than its factorization.

1004564736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1004564736 is about 31694.8692377804. The cubic root of 1004564736 is about 1001.5192693185.

The spelling of 1004564736 in words is "one billion, four million, five hundred sixty-four thousand, seven hundred thirty-six".