1638000 has 240 divisors, whose sum is σ = 7041216. Its totient is φ = 345600.

The previous prime is 1637983. The next prime is 1638011. The reversal of 1638000 is 8361.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2, base 12 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125994 + ... + 126006.

2^1638000 is an apocalyptic number.

1638000 is a gapful number since it is divisible by the number (10) 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 1638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520608).

1638000 is an abundant number, since it is smaller than the sum of its proper divisors (5403216).

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

1638000 is a wasteful number, since it uses less digits than its factorization.

1638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1638000 is about 1279.8437404621. The cubic root of 1638000 is about 117.8794133436.

The spelling of 1638000 in words is "one million, six hundred thirty-eight thousand".