1486368 has 72 divisors (see below), whose sum is σ = 4563468. Its totient is φ = 456192.

The previous prime is 1486367. The next prime is 1486379. The reversal of 1486368 is 8636841.

It is a happy number.

1486368 is a `hidden beast` number, since 14 + 8 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 17424 = 1212^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (1486363) 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, 3546 + ... + 3942.

2^1486368 is an apocalyptic number.

1486368 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 1486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281734).

1486368 is an abundant number, since it is smaller than the sum of its proper divisors (3077100).

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

1486368 is a wasteful number, since it uses less digits than its factorization.

1486368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1486368 is about 1219.1669286853. The cubic root of 1486368 is about 114.1235963297.

The spelling of 1486368 in words is "one million, four hundred eighty-six thousand, three hundred sixty-eight".