1968820 has 60 divisors (see below), whose sum is σ = 4940964. Its totient is φ = 658560.

The previous prime is 1968817. The next prime is 1968829. The reversal of 1968820 is 288691.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 1623076 = 588^2 + 1274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48000 + ... + 48040.

2^1968820 is an apocalyptic number.

1968820 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 1968820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470482).

1968820 is an abundant number, since it is smaller than the sum of its proper divisors (2972144).

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

1968820 is an equidigital number, since it uses as much as digits as its factorization.

1968820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1968820 is about 1403.1464642011. The cubic root of 1968820 is about 125.3339337781. Note that the first 3 decimals are identical.

The spelling of 1968820 in words is "one million, nine hundred sixty-eight thousand, eight hundred twenty".