1387468576 has 96 divisors (see below), whose sum is σ = 3109155840. Its totient is φ = 604886016.

The previous prime is 1387468567. The next prime is 1387468601. The reversal of 1387468576 is 6758647831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565785 + ... + 568231.

It is an arithmetic number, because the mean of its divisors is an integer number (32387040).

Almost surely, 2^1387468576 is an apocalyptic number.

1387468576 is a gapful number since it is divisible by the number (16) 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 1387468576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554577920).

1387468576 is an abundant number, since it is smaller than the sum of its proper divisors (1721687264).

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

1387468576 is a wasteful number, since it uses less digits than its factorization.

1387468576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2538 counting only the distinct ones).

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

The square root of 1387468576 is about 37248.7392538325. The cubic root of 1387468576 is about 1115.3411320555.

The spelling of 1387468576 in words is "one billion, three hundred eighty-seven million, four hundred sixty-eight thousand, five hundred seventy-six".