1538767648 has 144 divisors (see below), whose sum is σ = 3576894552. Its totient is φ = 648806400.

The previous prime is 1538767621. The next prime is 1538767661. The reversal of 1538767648 is 8467678351.

It can be written as a sum of positive squares in 4 ways, for example, as 1509477904 + 29289744 = 38852^2 + 5412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6384808 + ... + 6385048.

Almost surely, 2^1538767648 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 1538767648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788447276).

1538767648 is an abundant number, since it is smaller than the sum of its proper divisors (2038126904).

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

1538767648 is a wasteful number, since it uses less digits than its factorization.

1538767648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The square root of 1538767648 is about 39227.1289798272. The cubic root of 1538767648 is about 1154.4922333441.

The spelling of 1538767648 in words is "one billion, five hundred thirty-eight million, seven hundred sixty-seven thousand, six hundred forty-eight".