1340828160 has 320 divisors, whose sum is σ = 5008608000. Its totient is φ = 305872896.

The previous prime is 1340828143. The next prime is 1340828161. The reversal of 1340828160 is 618280431.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1340828161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2633986 + ... + 2634494.

It is an arithmetic number, because the mean of its divisors is an integer number (15651900).

Almost surely, 2^1340828160 is an apocalyptic number.

1340828160 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 1340828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504304000).

1340828160 is an abundant number, since it is smaller than the sum of its proper divisors (3667779840).

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

1340828160 is an frugal number, since it uses more digits than its factorization.

1340828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1340828160 is about 36617.3204918110. The cubic root of 1340828160 is about 1102.7008452435.

The spelling of 1340828160 in words is "one billion, three hundred forty million, eight hundred twenty-eight thousand, one hundred sixty".