1388808960 has 648 divisors, whose sum is σ = 5764349808. Its totient is φ = 283852800.

The previous prime is 1388808947. The next prime is 1388808973. The reversal of 1388808960 is 698088831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1388808947) and next prime (1388808973).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22767330 + ... + 22767390.

Almost surely, 2^1388808960 is an apocalyptic number.

1388808960 is a gapful number since it is divisible by the number (10) 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 1388808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882174904).

1388808960 is an abundant number, since it is smaller than the sum of its proper divisors (4375540848).

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

1388808960 is a wasteful number, since it uses less digits than its factorization.

1388808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 1388808960 is about 37266.7272509943. The cubic root of 1388808960 is about 1115.7001802469.

The spelling of 1388808960 in words is "one billion, three hundred eighty-eight million, eight hundred eight thousand, nine hundred sixty".