1652112 has 120 divisors (see below), whose sum is σ = 5803200. Its totient is φ = 426240.

The previous prime is 1652089. The next prime is 1652129. The reversal of 1652112 is 2112561.

1652112 is a `hidden beast` number, since 1 + 652 + 1 + 12 = 666.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11014 + ... + 11162.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2^1652112 is an apocalyptic number.

1652112 is a gapful number since it is divisible by the number (12) 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 1652112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901600).

1652112 is an abundant number, since it is smaller than the sum of its proper divisors (4151088).

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

1652112 is a wasteful number, since it uses less digits than its factorization.

1652112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1652112 is about 1285.3450898494. The cubic root of 1652112 is about 118.2169712892.

Adding to 1652112 its reverse (2112561), we get a palindrome (3764673).

It can be divided in two parts, 1652 and 112, that added together give a square (1764 = 42²).

The spelling of 1652112 in words is "one million, six hundred fifty-two thousand, one hundred twelve".