1316810880 has 384 divisors, whose sum is σ = 5671036800. Its totient is φ = 273530880.

The previous prime is 1316810867. The next prime is 1316810897. The reversal of 1316810880 is 880186131.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442036 + ... + 445004.

It is an arithmetic number, because the mean of its divisors is an integer number (14768325).

Almost surely, 2^1316810880 is an apocalyptic number.

1316810880 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 1316810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835518400).

1316810880 is an abundant number, since it is smaller than the sum of its proper divisors (4354225920).

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

1316810880 is a wasteful number, since it uses less digits than its factorization.

1316810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1316810880 is about 36287.8888887188. Note that the first 6 decimals coincide. The cubic root of 1316810880 is about 1096.0771785742.

The spelling of 1316810880 in words is "one billion, three hundred sixteen million, eight hundred ten thousand, eight hundred eighty".