1948567072 has 24 divisors (see below), whose sum is σ = 3968527500. Its totient is φ = 940687104.

The previous prime is 1948567069. The next prime is 1948567109. The reversal of 1948567072 is 2707658491.

It can be written as a sum of positive squares in 2 ways, for example, as 1894338576 + 54228496 = 43524^2 + 7364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1048947 + ... + 1050802.

Almost surely, 2^1948567072 is an apocalyptic number.

It is an amenable number.

1948567072 is an abundant number, since it is smaller than the sum of its proper divisors (2019960428).

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

1948567072 is a wasteful number, since it uses less digits than its factorization.

1948567072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099788 (or 2099780 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 1948567072 is about 44142.5766352622. The cubic root of 1948567072 is about 1249.0268846605.

The spelling of 1948567072 in words is "one billion, nine hundred forty-eight million, five hundred sixty-seven thousand, seventy-two".