1378587168 has 144 divisors (see below), whose sum is σ = 4677492960. Its totient is φ = 393869952.

The previous prime is 1378587149. The next prime is 1378587169. The reversal of 1378587168 is 8617858731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1378587169) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26055 + ... + 58617.

It is an arithmetic number, because the mean of its divisors is an integer number (32482590).

Almost surely, 2^1378587168 is an apocalyptic number.

1378587168 is a gapful number since it is divisible by the number (18) 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 1378587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338746480).

1378587168 is an abundant number, since it is smaller than the sum of its proper divisors (3298905792).

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

1378587168 is a wasteful number, since it uses less digits than its factorization.

1378587168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596 (or 32575 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 1378587168 is about 37129.3302929099. The cubic root of 1378587168 is about 1112.9562104523.

The spelling of 1378587168 in words is "one billion, three hundred seventy-eight million, five hundred eighty-seven thousand, one hundred sixty-eight".