1380004560 has 240 divisors, whose sum is σ = 5207077440. Its totient is φ = 333158400.

The previous prime is 1380004543. The next prime is 1380004579. The reversal of 1380004560 is 654000831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5726040 + ... + 5726280.

It is an arithmetic number, because the mean of its divisors is an integer number (21696156).

Almost surely, 2^1380004560 is an apocalyptic number.

1380004560 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 1380004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603538720).

1380004560 is an abundant number, since it is smaller than the sum of its proper divisors (3827072880).

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

1380004560 is a wasteful number, since it uses less digits than its factorization.

1380004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1380004560 is about 37148.4126174996. The cubic root of 1380004560 is about 1113.3375078030.

The spelling of 1380004560 in words is "one billion, three hundred eighty million, four thousand, five hundred sixty".