20162000 has 80 divisors (see below), whose sum is σ = 51706512. Its totient is φ = 7577600.

The previous prime is 20161993. The next prime is 20162027. The reversal of 20162000 is 26102.

It can be written as a sum of positive squares in 8 ways, for example, as 3055504 + 17106496 = 1748^2 + 4136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33704 + ... + 34296.

Almost surely, 2^20162000 is an apocalyptic number.

20162000 is a gapful number since it is divisible by the number (20) 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 20162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25853256).

20162000 is an abundant number, since it is smaller than the sum of its proper divisors (31544512).

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

20162000 is a wasteful number, since it uses less digits than its factorization.

20162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20162000 is about 4490.2115763068. The cubic root of 20162000 is about 272.1726844624.

Adding to 20162000 its reverse (26102), we get a palindrome (20188102).

It can be divided in two parts, 20 and 162000, that multiplied together give a square (3240000 = 1800²).

The spelling of 20162000 in words is "twenty million, one hundred sixty-two thousand".