1348247040 has 320 divisors, whose sum is σ = 5091102720. Its totient is φ = 297861120.

The previous prime is 1348247023. The next prime is 1348247059. The reversal of 1348247040 is 407428431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1348246992 and 1348247010.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1666156 + ... + 1666964.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^1348247040 is an apocalyptic number.

1348247040 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 1348247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545551360).

1348247040 is an abundant number, since it is smaller than the sum of its proper divisors (3742855680).

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

1348247040 is an equidigital number, since it uses as much as digits as its factorization.

1348247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1348247040 is about 36718.4836288211. The cubic root of 1348247040 is about 1104.7308749943.

The spelling of 1348247040 in words is "one billion, three hundred forty-eight million, two hundred forty-seven thousand, forty".