1009487776 has 48 divisors (see below), whose sum is σ = 2176735680. Its totient is φ = 457031680.

The previous prime is 1009487771. The next prime is 1009487777. The reversal of 1009487776 is 6777849001.

1009487776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1009487771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84885 + ... + 96043.

It is an arithmetic number, because the mean of its divisors is an integer number (45348660).

Almost surely, 2^1009487776 is an apocalyptic number.

1009487776 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 1009487776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088367840).

1009487776 is an abundant number, since it is smaller than the sum of its proper divisors (1167247904).

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

1009487776 is a wasteful number, since it uses less digits than its factorization.

1009487776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

The square root of 1009487776 is about 31772.4373632241. The cubic root of 1009487776 is about 1003.1526424010.

The spelling of 1009487776 in words is "one billion, nine million, four hundred eighty-seven thousand, seven hundred seventy-six".