1009680463 has 16 divisors (see below), whose sum is σ = 1186416000. Its totient is φ = 849350880.

The previous prime is 1009680449. The next prime is 1009680481. The reversal of 1009680463 is 3640869001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1009680463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009650463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47188 + ... + 65161.

It is an arithmetic number, because the mean of its divisors is an integer number (74151000).

Almost surely, 2^1009680463 is an apocalyptic number.

1009680463 is a deficient number, since it is larger than the sum of its proper divisors (176735537).

1009680463 is a wasteful number, since it uses less digits than its factorization.

1009680463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112422.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1009680463 is about 31775.4695165941. The cubic root of 1009680463 is about 1003.2164642655.

It can be divided in two parts, 1009 and 680463, that added together give a cube (681472 = 88³).

The spelling of 1009680463 in words is "one billion, nine million, six hundred eighty thousand, four hundred sixty-three".