1000063872 has 48 divisors (see below), whose sum is σ = 2877791280. Its totient is φ = 333354240.

The previous prime is 1000063853. The next prime is 1000063873. The reversal of 1000063872 is 2783600001.

1000063872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000063873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 432904 + ... + 435207.

It is an arithmetic number, because the mean of its divisors is an integer number (59953985).

Almost surely, 2^1000063872 is an apocalyptic number.

1000063872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000063872 is an abundant number, since it is smaller than the sum of its proper divisors (1877727408).

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

1000063872 is an equidigital number, since it uses as much as digits as its factorization.

1000063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868131 (or 868116 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1000063872 is about 31623.7864905517. The cubic root of 1000063872 is about 1000.0212902134.

Adding to 1000063872 its reverse (2783600001), we get a palindrome (3783663873).

The spelling of 1000063872 in words is "one billion, sixty-three thousand, eight hundred seventy-two".