1316400 has 60 divisors (see below), whose sum is σ = 4220712. Its totient is φ = 350720.

The previous prime is 1316389. The next prime is 1316401. The reversal of 1316400 is 46131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1316400.

It is not an unprimeable number, because it can be changed into a prime (1316401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652 + ... + 1748.

2^1316400 is an apocalyptic number.

1316400 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 1316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110356).

1316400 is an abundant number, since it is smaller than the sum of its proper divisors (2904312).

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

1316400 is a wasteful number, since it uses less digits than its factorization.

1316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1316400 is about 1147.3447607411. The cubic root of 1316400 is about 109.5963164976.

The spelling of 1316400 in words is "one million, three hundred sixteen thousand, four hundred".