1001566880 has 24 divisors (see below), whose sum is σ = 2366202132. Its totient is φ = 400626688.

The previous prime is 1001566877. The next prime is 1001566897. The reversal of 1001566880 is 886651001.

1001566880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 948393616 + 53173264 = 30796^2 + 7292^2 .

It is a super-2 number, since 2×1001566880² = 2006272430225868800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001566880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3129737 + ... + 3130056.

Almost surely, 2^1001566880 is an apocalyptic number.

1001566880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001566880 is an abundant number, since it is smaller than the sum of its proper divisors (1364635252).

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

1001566880 is an equidigital number, since it uses as much as digits as its factorization.

1001566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259808 (or 6259800 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 1001566880 is about 31647.5414526942. The cubic root of 1001566880 is about 1000.5220207802.

The spelling of 1001566880 in words is "one billion, one million, five hundred sixty-six thousand, eight hundred eighty".