1007856916 has 36 divisors (see below), whose sum is σ = 1985990580. Its totient is φ = 446934400.

The previous prime is 1007856827. The next prime is 1007856929. The reversal of 1007856916 is 6196587001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45616516 + 962240400 = 6754^2 + 31020^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5551 + ... + 45238.

It is an arithmetic number, because the mean of its divisors is an integer number (55166405).

Almost surely, 2^1007856916 is an apocalyptic number.

It is an amenable number.

1007856916 is a deficient number, since it is larger than the sum of its proper divisors (978133664).

1007856916 is a wasteful number, since it uses less digits than its factorization.

1007856916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50856 (or 50843 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 1007856916 is about 31746.7622916101. The cubic root of 1007856916 is about 1002.6121427690.

It can be divided in two parts, 100785 and 6916, that added together give a palindrome (107701).

The spelling of 1007856916 in words is "one billion, seven million, eight hundred fifty-six thousand, nine hundred sixteen".