1346567640 has 256 divisors, whose sum is σ = 4596480000. Its totient is φ = 312698880.

The previous prime is 1346567623. The next prime is 1346567641. The reversal of 1346567640 is 467656431.

It is a junction number, because it is equal to n+sod(n) for n = 1346567592 and 1346567601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346567641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3858186 + ... + 3858534.

It is an arithmetic number, because the mean of its divisors is an integer number (17955000).

Almost surely, 2^1346567640 is an apocalyptic number.

1346567640 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 1346567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240000).

1346567640 is an abundant number, since it is smaller than the sum of its proper divisors (3249912360).

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

1346567640 is a wasteful number, since it uses less digits than its factorization.

1346567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1346567640 is about 36695.6079115744. The cubic root of 1346567640 is about 1104.2719937371.

The spelling of 1346567640 in words is "one billion, three hundred forty-six million, five hundred sixty-seven thousand, six hundred forty".