1371648672 has 144 divisors (see below), whose sum is σ = 4148929512. Its totient is φ = 428359680.

The previous prime is 1371648667. The next prime is 1371648673. The reversal of 1371648672 is 2768461731.

It can be written as a sum of positive squares in 4 ways, for example, as 1368704016 + 2944656 = 36996^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1371648673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375278 + ... + 1376274.

Almost surely, 2^1371648672 is an apocalyptic number.

1371648672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1371648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074464756).

1371648672 is an abundant number, since it is smaller than the sum of its proper divisors (2777280840).

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

1371648672 is a wasteful number, since it uses less digits than its factorization.

1371648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1371648672 is about 37035.7755690359. The cubic root of 1371648672 is about 1111.0858816079.

The spelling of 1371648672 in words is "one billion, three hundred seventy-one million, six hundred forty-eight thousand, six hundred seventy-two".