1036768705 has 48 divisors (see below), whose sum is σ = 1505059920. Its totient is φ = 682795008.

The previous prime is 1036768693. The next prime is 1036768717. The reversal of 1036768705 is 5078676301.

It is an interprime number because it is at equal distance from previous prime (1036768693) and next prime (1036768717).

It can be written as a sum of positive squares in 8 ways, for example, as 157527601 + 879241104 = 12551^2 + 29652^2 .

It is not a de Polignac number, because 1036768705 - 2⁵ = 1036768673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394169 + ... + 2394601.

It is an arithmetic number, because the mean of its divisors is an integer number (31355415).

Almost surely, 2^1036768705 is an apocalyptic number.

It is an amenable number.

1036768705 is a deficient number, since it is larger than the sum of its proper divisors (468291215).

1036768705 is a wasteful number, since it uses less digits than its factorization.

1036768705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 1036768705 is about 32198.8929157510. The cubic root of 1036768705 is about 1012.1090149166.

The spelling of 1036768705 in words is "one billion, thirty-six million, seven hundred sixty-eight thousand, seven hundred five".