1387579648 has 216 divisors, whose sum is σ = 3549299712. Its totient is φ = 536481792.

The previous prime is 1387579643. The next prime is 1387579651. The reversal of 1387579648 is 8469757831.

Its product of digits (10160640) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 1387579592 and 1387579601.

It is not an unprimeable number, because it can be changed into a prime (1387579643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10925761 + ... + 10925887.

Almost surely, 2^1387579648 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 1387579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774649856).

1387579648 is an abundant number, since it is smaller than the sum of its proper divisors (2161720064).

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

1387579648 is a wasteful number, since it uses less digits than its factorization.

1387579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 58.

The square root of 1387579648 is about 37250.2301737855. The cubic root of 1387579648 is about 1115.3708936580.

The spelling of 1387579648 in words is "one billion, three hundred eighty-seven million, five hundred seventy-nine thousand, six hundred forty-eight".