1316806400 has 648 divisors, whose sum is σ = 4550802480. Its totient is φ = 371589120.

The previous prime is 1316806397. The next prime is 1316806433. The reversal of 1316806400 is 46086131.

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, 69305591 + ... + 69305609.

Almost surely, 2^1316806400 is an apocalyptic number.

1316806400 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 1316806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275401240).

1316806400 is an abundant number, since it is smaller than the sum of its proper divisors (3233996080).

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

1316806400 is a wasteful number, since it uses less digits than its factorization.

1316806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1316806400 is about 36287.8271600822. The cubic root of 1316806400 is about 1096.0759355631.

The spelling of 1316806400 in words is "one billion, three hundred sixteen million, eight hundred six thousand, four hundred".