1318464 has 112 divisors (see below), whose sum is σ = 4470400. Its totient is φ = 373248.

The previous prime is 1318463. The next prime is 1318477. The reversal of 1318464 is 4648131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1318463) 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 15 ways as a sum of consecutive naturals, for example, 12042 + ... + 12150.

2^1318464 is an apocalyptic number.

1318464 is a gapful number since it is divisible by the number (14) 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 1318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235200).

1318464 is an abundant number, since it is smaller than the sum of its proper divisors (3151936).

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

1318464 is a wasteful number, since it uses less digits than its factorization.

1318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1318464 is about 1148.2438765349. The cubic root of 1318464 is about 109.6535657319.

The spelling of 1318464 in words is "one million, three hundred eighteen thousand, four hundred sixty-four".