1312416 has 144 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 362880.

The previous prime is 1312411. The next prime is 1312459. The reversal of 1312416 is 6142131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1312411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42321 + ... + 42351.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2^1312416 is an apocalyptic number.

1312416 is a gapful number since it is divisible by the number (16) 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 1312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

1312416 is an abundant number, since it is smaller than the sum of its proper divisors (3284064).

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

1312416 is a wasteful number, since it uses less digits than its factorization.

1312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1312416 is about 1145.6072625468. The cubic root of 1312416 is about 109.4856427038.

Adding to 1312416 its reverse (6142131), we get a palindrome (7454547).

It can be divided in two parts, 1312 and 416, that added together give a cube (1728 = 12³).

The spelling of 1312416 in words is "one million, three hundred twelve thousand, four hundred sixteen".