1382016 has 64 divisors (see below), whose sum is σ = 3794400. Its totient is φ = 445440.

The previous prime is 1381999. The next prime is 1382021. The reversal of 1382016 is 6102831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1381983 and 1382001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22626 + ... + 22686.

2^1382016 is an apocalyptic number.

1382016 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 1382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897200).

1382016 is an abundant number, since it is smaller than the sum of its proper divisors (2412384).

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

1382016 is an equidigital number, since it uses as much as digits as its factorization.

1382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1382016 is about 1175.5917658779. The cubic root of 1382016 is about 111.3878164096.

Adding to 1382016 its reverse (6102831), we get a palindrome (7484847).

The spelling of 1382016 in words is "one million, three hundred eighty-two thousand, sixteen".