1642000 has 40 divisors (see below), whose sum is σ = 3975192. Its totient is φ = 656000.

The previous prime is 1641971. The next prime is 1642021. The reversal of 1642000 is 2461.

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 1468944 = 416^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 1590 + ... + 2410.

2^1642000 is an apocalyptic number.

1642000 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 1642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987596).

1642000 is an abundant number, since it is smaller than the sum of its proper divisors (2333192).

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

1642000 is an equidigital number, since it uses as much as digits as its factorization.

1642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1642000 is about 1281.4054783713. The cubic root of 1642000 is about 117.9752892812.

Adding to 1642000 its reverse (2461), we get a palindrome (1644461).

The spelling of 1642000 in words is "one million, six hundred forty-two thousand".