1311408 has 60 divisors (see below), whose sum is σ = 4197648. Its totient is φ = 374400.

The previous prime is 1311407. The next prime is 1311419. The reversal of 1311408 is 8041131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1311403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358 + ... + 1658.

2^1311408 is an apocalyptic number.

1311408 is a gapful number since it is divisible by the number (18) 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 1311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098824).

1311408 is an abundant number, since it is smaller than the sum of its proper divisors (2886240).

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

1311408 is a wasteful number, since it uses less digits than its factorization.

1311408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1311408 is about 1145.1672366951. The cubic root of 1311408 is about 109.4576054061.

Subtracting from 1311408 its sum of digits (18), we obtain a triangular number (1311390 = T₁₆₁₉).

Adding to 1311408 its reverse (8041131), we get a palindrome (9352539).

The spelling of 1311408 in words is "one million, three hundred eleven thousand, four hundred eight".