1642120 has 32 divisors (see below), whose sum is σ = 3760920. Its totient is φ = 645120.

The previous prime is 1642117. The next prime is 1642141. The reversal of 1642120 is 212461.

It can be written as a sum of positive squares in 4 ways, for example, as 708964 + 933156 = 842^2 + 966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1642094 and 1642103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2104 + ... + 2776.

2^1642120 is an apocalyptic number.

1642120 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 1642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880460).

1642120 is an abundant number, since it is smaller than the sum of its proper divisors (2118800).

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

1642120 is a wasteful number, since it uses less digits than its factorization.

1642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1642120 is about 1281.4523011022. The cubic root of 1642120 is about 117.9781631525.

Adding to 1642120 its reverse (212461), we get a palindrome (1854581).

The spelling of 1642120 in words is "one million, six hundred forty-two thousand, one hundred twenty".