1346791680 has 648 divisors, whose sum is σ = 5554451448. Its totient is φ = 298450944.

The previous prime is 1346791669. The next prime is 1346791717. The reversal of 1346791680 is 861976431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 1248067584 = 9936^2 + 35328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58556149 + ... + 58556171.

Almost surely, 2^1346791680 is an apocalyptic number.

1346791680 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 1346791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777225724).

1346791680 is an abundant number, since it is smaller than the sum of its proper divisors (4207659768).

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

1346791680 is a wasteful number, since it uses less digits than its factorization.

1346791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1346791680 is about 36698.6604660170. The cubic root of 1346791680 is about 1104.3332327398. Note that the first 3 decimals are identical.

The spelling of 1346791680 in words is "one billion, three hundred forty-six million, seven hundred ninety-one thousand, six hundred eighty".