1638416 has 20 divisors (see below), whose sum is σ = 3419052. Its totient is φ = 756096.

The previous prime is 1638353. The next prime is 1638431. The reversal of 1638416 is 6148361.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 1392400 = 496^2 + 1180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3731 + ... + 4146.

2^1638416 is an apocalyptic number.

1638416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1638416 is an abundant number, since it is smaller than the sum of its proper divisors (1780636).

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

1638416 is a wasteful number, since it uses less digits than its factorization.

1638416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 7892 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1638416 is about 1280.0062499847. The cubic root of 1638416 is about 117.8893917085.

It can be divided in two parts, 16384 and 16, that multiplied together give a 18-th power (262144 = 2¹⁸).

The spelling of 1638416 in words is "one million, six hundred thirty-eight thousand, four hundred sixteen".