1662120 has 128 divisors (see below), whose sum is σ = 5904000. Its totient is φ = 419904.

The previous prime is 1662119. The next prime is 1662121. The reversal of 1662120 is 212661.

It is a happy number.

1662120 is a `hidden beast` number, since 1 + 662 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1662119) and next prime (1662121).

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 = 1662093 and 1662102.

It is not an unprimeable number, because it can be changed into a prime (1662121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87471 + ... + 87489.

It is an arithmetic number, because the mean of its divisors is an integer number (46125).

2^1662120 is an apocalyptic number.

1662120 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 1662120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952000).

1662120 is an abundant number, since it is smaller than the sum of its proper divisors (4241880).

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

1662120 is an equidigital number, since it uses as much as digits as its factorization.

1662120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

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

The square root of 1662120 is about 1289.2323297218. The cubic root of 1662120 is about 118.4551985743.

Adding to 1662120 its reverse (212661), we get a palindrome (1874781).

It can be divided in two parts, 16621 and 20, that added together give a square (16641 = 129²).

The spelling of 1662120 in words is "one million, six hundred sixty-two thousand, one hundred twenty".