1338845760 has 560 divisors, whose sum is σ = 5594079744. Its totient is φ = 297603072.

The previous prime is 1338845737. The next prime is 1338845771. The reversal of 1338845760 is 675488331.

1338845760 is a `hidden beast` number, since 133 + 8 + 8 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8527602 + ... + 8527758.

Almost surely, 2^1338845760 is an apocalyptic number.

1338845760 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 1338845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797039872).

1338845760 is an abundant number, since it is smaller than the sum of its proper divisors (4255233984).

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

1338845760 is a wasteful number, since it uses less digits than its factorization.

1338845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1338845760 is about 36590.2413219700. The cubic root of 1338845760 is about 1102.1571334218.

The spelling of 1338845760 in words is "one billion, three hundred thirty-eight million, eight hundred forty-five thousand, seven hundred sixty".