1072865610 has 48 divisors (see below), whose sum is σ = 2793137256. Its totient is φ = 285719424.

The previous prime is 1072865551. The next prime is 1072865641. The reversal of 1072865610 is 165682701.

1072865610 is a `hidden beast` number, since 10 + 7 + 2 + 86 + 561 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730134441 + 342731169 = 27021^2 + 18513^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64252 + ... + 79208.

Almost surely, 2^1072865610 is an apocalyptic number.

1072865610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1072865610 is an abundant number, since it is smaller than the sum of its proper divisors (1720271646).

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

1072865610 is a wasteful number, since it uses less digits than its factorization.

1072865610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15767 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1072865610 is about 32754.6273066875. The cubic root of 1072865610 is about 1023.7213832698.

It can be divided in two parts, 107286 and 5610, that added together give a square (112896 = 336²).

The spelling of 1072865610 in words is "one billion, seventy-two million, eight hundred sixty-five thousand, six hundred ten".