1408071168 has 160 divisors (see below), whose sum is σ = 4763742720. Its totient is φ = 402278400.

The previous prime is 1408071151. The next prime is 1408071173. The reversal of 1408071168 is 8611708041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89493 + ... + 104043.

It is an arithmetic number, because the mean of its divisors is an integer number (29773392).

Almost surely, 2^1408071168 is an apocalyptic number.

1408071168 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 1408071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381871360).

1408071168 is an abundant number, since it is smaller than the sum of its proper divisors (3355671552).

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

1408071168 is an equidigital number, since it uses as much as digits as its factorization.

1408071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14563 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1408071168 is about 37524.2743833908. The cubic root of 1408071168 is about 1120.8346159909.

The spelling of 1408071168 in words is "one billion, four hundred eight million, seventy-one thousand, one hundred sixty-eight".