1009913680 has 20 divisors (see below), whose sum is σ = 2348049492. Its totient is φ = 403965440.

The previous prime is 1009913659. The next prime is 1009913687. The reversal of 1009913680 is 863199001.

It can be written as a sum of positive squares in 2 ways, for example, as 574273296 + 435640384 = 23964^2 + 20872^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1009913680² = 2039851282102284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009913687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6311881 + ... + 6312040.

Almost surely, 2^1009913680 is an apocalyptic number.

1009913680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009913680 is an abundant number, since it is smaller than the sum of its proper divisors (1338135812).

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

1009913680 is a wasteful number, since it uses less digits than its factorization.

1009913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623934 (or 12623928 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 1009913680 is about 31779.1390695217. The cubic root of 1009913680 is about 1003.2936996322.

The spelling of 1009913680 in words is "one billion, nine million, nine hundred thirteen thousand, six hundred eighty".