1340945760 has 576 divisors, whose sum is σ = 5510260224. Its totient is φ = 270950400.

The previous prime is 1340945731. The next prime is 1340945777. The reversal of 1340945760 is 675490431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18369084 + ... + 18369156.

It is an arithmetic number, because the mean of its divisors is an integer number (9566424).

Almost surely, 2^1340945760 is an apocalyptic number.

1340945760 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 1340945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755130112).

1340945760 is an abundant number, since it is smaller than the sum of its proper divisors (4169314464).

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

1340945760 is a wasteful number, since it uses less digits than its factorization.

1340945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1340945760 is about 36618.9262540561. The cubic root of 1340945760 is about 1102.7330824912.

The spelling of 1340945760 in words is "one billion, three hundred forty million, nine hundred forty-five thousand, seven hundred sixty".