202642000 has 160 divisors (see below), whose sum is σ = 546893568. Its totient is φ = 72000000.

The previous prime is 202641997. The next prime is 202642001. The reversal of 202642000 is 246202.

202642000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202642001) 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, 1341925 + ... + 1342075.

Almost surely, 2^202642000 is an apocalyptic number.

202642000 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 202642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273446784).

202642000 is an abundant number, since it is smaller than the sum of its proper divisors (344251568).

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

202642000 is a wasteful number, since it uses less digits than its factorization.

202642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 202642000 is about 14235.2379678037. The cubic root of 202642000 is about 587.3673761295.

Adding to 202642000 its reverse (246202), we get a palindrome (202888202).

The spelling of 202642000 in words is "two hundred two million, six hundred forty-two thousand".