1652112000 has 768 divisors, whose sum is σ = 7446816000. Its totient is φ = 340992000.

The previous prime is 1652111963. The next prime is 1652112001. The reversal of 1652112000 is 2112561.

1652112000 is a `hidden beast` number, since 1 + 652 + 1 + 12 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1652112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087926 + ... + 11088074.

It is an arithmetic number, because the mean of its divisors is an integer number (9696375).

Almost surely, 2^1652112000 is an apocalyptic number.

1652112000 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 1652112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723408000).

1652112000 is an abundant number, since it is smaller than the sum of its proper divisors (5794704000).

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

1652112000 is a wasteful number, since it uses less digits than its factorization.

1652112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

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

The square root of 1652112000 is about 40646.1806323792. The cubic root of 1652112000 is about 1182.1697128915.

Adding to 1652112000 its reverse (2112561), we get a palindrome (1654224561).

The spelling of 1652112000 in words is "one billion, six hundred fifty-two million, one hundred twelve thousand".