1642320 has 60 divisors (see below), whose sum is σ = 5517876. Its totient is φ = 437760.

The previous prime is 1642313. The next prime is 1642327. The reversal of 1642320 is 232461.

It is a happy number.

1642320 is a `hidden beast` number, since 1 + 642 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1642313) and next prime (1642327).

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 853776 = 888^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 1642293 and 1642302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 1860.

2^1642320 is an apocalyptic number.

1642320 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 1642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758938).

1642320 is an abundant number, since it is smaller than the sum of its proper divisors (3875556).

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

1642320 is a wasteful number, since it uses less digits than its factorization.

1642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1642320 is about 1281.5303351852. The cubic root of 1642320 is about 117.9829526268.

Adding to 1642320 its reverse (232461), we get a palindrome (1874781).

The spelling of 1642320 in words is "one million, six hundred forty-two thousand, three hundred twenty".