1371561984 has 336 divisors, whose sum is σ = 4508339472. Its totient is φ = 414056448.

The previous prime is 1371561979. The next prime is 1371562019. The reversal of 1371561984 is 4891651731.

1371561984 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 561 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25878502 + ... + 25878554.

It is an arithmetic number, because the mean of its divisors is an integer number (13417677).

Almost surely, 2^1371561984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1371561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254169736).

1371561984 is an abundant number, since it is smaller than the sum of its proper divisors (3136777488).

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

1371561984 is an frugal number, since it uses more digits than its factorization.

1371561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1371561984 is about 37034.6052226833. The cubic root of 1371561984 is about 1111.0624742918.

It can be divided in two parts, 13715619 and 84, that added together give a triangular number (13715703 = T₅₂₃₇).

The spelling of 1371561984 in words is "one billion, three hundred seventy-one million, five hundred sixty-one thousand, nine hundred eighty-four".