1345980240 has 400 divisors, whose sum is σ = 5327980416. Its totient is φ = 311731200.

The previous prime is 1345980203. The next prime is 1345980241. The reversal of 1345980240 is 420895431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1345980195 and 1345980204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345980241) 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 79 ways as a sum of consecutive naturals, for example, 1639030 + ... + 1639850.

Almost surely, 2^1345980240 is an apocalyptic number.

1345980240 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 1345980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663990208).

1345980240 is an abundant number, since it is smaller than the sum of its proper divisors (3982000176).

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

1345980240 is a wasteful number, since it uses less digits than its factorization.

1345980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1345980240 is about 36687.6033559021. The cubic root of 1345980240 is about 1104.1114018018. Note that the first 3 decimals are identical.

The spelling of 1345980240 in words is "one billion, three hundred forty-five million, nine hundred eighty thousand, two hundred forty".