1638672 has 40 divisors (see below), whose sum is σ = 4838976. Its totient is φ = 468096.

The previous prime is 1638653. The next prime is 1638673. The reversal of 1638672 is 2768361.

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 (1638673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2103 + ... + 2774.

2^1638672 is an apocalyptic number.

1638672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1638672 is an abundant number, since it is smaller than the sum of its proper divisors (3200304).

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

1638672 is a wasteful number, since it uses less digits than its factorization.

1638672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4889 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1638672 is about 1280.1062455906. The cubic root of 1638672 is about 117.8955314013.

The spelling of 1638672 in words is "one million, six hundred thirty-eight thousand, six hundred seventy-two".