202006000 has 160 divisors (see below), whose sum is σ = 571963392. Its totient is φ = 67564800.

The previous prime is 202005997. The next prime is 202006001. The reversal of 202006000 is 600202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202006001) 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 31 ways as a sum of consecutive naturals, for example, 657847 + ... + 658153.

Almost surely, 2^202006000 is an apocalyptic number.

202006000 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 202006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981696).

202006000 is an abundant number, since it is smaller than the sum of its proper divisors (369957392).

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

202006000 is a wasteful number, since it uses less digits than its factorization.

202006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 202006000 is about 14212.8814812479. The cubic root of 202006000 is about 586.7522401573.

Adding to 202006000 its reverse (600202), we get a palindrome (202606202).

The spelling of 202006000 in words is "two hundred two million, six thousand".