1072687680 has 84 divisors (see below), whose sum is σ = 3689608572. Its totient is φ = 286049280.

The previous prime is 1072687663. The next prime is 1072687691. The reversal of 1072687680 is 867862701.

It can be written as a sum of positive squares in 2 ways, for example, as 830822976 + 241864704 = 28824^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183351 + ... + 189110.

Almost surely, 2^1072687680 is an apocalyptic number.

1072687680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072687680 is an abundant number, since it is smaller than the sum of its proper divisors (2616920892).

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

1072687680 is a wasteful number, since it uses less digits than its factorization.

1072687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372484 (or 372471 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1072687680 is about 32751.9110892784. The cubic root of 1072687680 is about 1023.6647869249.

The spelling of 1072687680 in words is "one billion, seventy-two million, six hundred eighty-seven thousand, six hundred eighty".