1007554564 has 27 divisors (see below), whose sum is σ = 1800304597. Its totient is φ = 493397648.

The previous prime is 1007554547. The next prime is 1007554567. The reversal of 1007554564 is 4654557001.

It is a happy number.

The square root of 1007554564 is 31742.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66292164 + 941262400 = 8142^2 + 30680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007554567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3745422 + ... + 3745690.

Almost surely, 2^1007554564 is an apocalyptic number.

1007554564 is the 31742-nd square number.

It is an amenable number.

1007554564 is a deficient number, since it is larger than the sum of its proper divisors (792750033).

1007554564 is an frugal number, since it uses more digits than its factorization.

1007554564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The cubic root of 1007554564 is about 1002.5118732101.

The spelling of 1007554564 in words is "one billion, seven million, five hundred fifty-four thousand, five hundred sixty-four".