1378584960 has 128 divisors (see below), whose sum is σ = 4437538560. Its totient is φ = 364001280.

The previous prime is 1378584937. The next prime is 1378584979. The reversal of 1378584960 is 694858731.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 194275 + ... + 201245.

It is an arithmetic number, because the mean of its divisors is an integer number (34668270).

Almost surely, 2^1378584960 is an apocalyptic number.

1378584960 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 1378584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218769280).

1378584960 is an abundant number, since it is smaller than the sum of its proper divisors (3058953600).

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

1378584960 is a wasteful number, since it uses less digits than its factorization.

1378584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 1378584960 is about 37129.3005589925. The cubic root of 1378584960 is about 1112.9556162670.

The spelling of 1378584960 in words is "one billion, three hundred seventy-eight million, five hundred eighty-four thousand, nine hundred sixty".