1072581864 has 64 divisors (see below), whose sum is σ = 2711016000. Its totient is φ = 353608704.

The previous prime is 1072581857. The next prime is 1072581889. The reversal of 1072581864 is 4681852701.

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 15 ways as a sum of consecutive naturals, for example, 1097344 + ... + 1098320.

It is an arithmetic number, because the mean of its divisors is an integer number (42359625).

Almost surely, 2^1072581864 is an apocalyptic number.

It is an amenable number.

1072581864 is an abundant number, since it is smaller than the sum of its proper divisors (1638434136).

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

1072581864 is a wasteful number, since it uses less digits than its factorization.

1072581864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1072581864 is about 32750.2956322535. The cubic root of 1072581864 is about 1023.6311257835.

The spelling of 1072581864 in words is "one billion, seventy-two million, five hundred eighty-one thousand, eight hundred sixty-four".