1004736564 has 72 divisors (see below), whose sum is σ = 2752104992. Its totient is φ = 307229760.

The previous prime is 1004736563. The next prime is 1004736571. The reversal of 1004736564 is 4656374001.

It is a happy number.

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 (1004736563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69699 + ... + 82869.

Almost surely, 2^1004736564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004736564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376052496).

1004736564 is an abundant number, since it is smaller than the sum of its proper divisors (1747368428).

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

1004736564 is a wasteful number, since it uses less digits than its factorization.

1004736564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357 (or 13352 counting only the distinct ones).

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

The square root of 1004736564 is about 31697.5797814281. The cubic root of 1004736564 is about 1001.5763684235.

The spelling of 1004736564 in words is "one billion, four million, seven hundred thirty-six thousand, five hundred sixty-four".