1316401984 has 56 divisors (see below), whose sum is σ = 2690301960. Its totient is φ = 638631936.

The previous prime is 1316401981. The next prime is 1316402027. The reversal of 1316401984 is 4891046131.

It can be written as a sum of positive squares in 4 ways, for example, as 547560000 + 768841984 = 23400^2 + 27728^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316401981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346904 + ... + 1347880.

Almost surely, 2^1316401984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345150980).

1316401984 is an abundant number, since it is smaller than the sum of its proper divisors (1373899976).

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

1316401984 is an equidigital number, since it uses as much as digits as its factorization.

1316401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1316401984 is about 36282.2543952274. The cubic root of 1316401984 is about 1095.9637155658.

The spelling of 1316401984 in words is "one billion, three hundred sixteen million, four hundred one thousand, nine hundred eighty-four".