202868820 has 576 divisors, whose sum is σ = 868734720. Its totient is φ = 38707200.

The previous prime is 202868767. The next prime is 202868843. The reversal of 202868820 is 28868202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4948000 + ... + 4948040.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^202868820 is an apocalyptic number.

202868820 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 202868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

202868820 is an abundant number, since it is smaller than the sum of its proper divisors (665865900).

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

202868820 is a wasteful number, since it uses less digits than its factorization.

202868820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 202868820 is about 14243.2025893055. The cubic root of 202868820 is about 587.5864438970.

The spelling of 202868820 in words is "two hundred two million, eight hundred sixty-eight thousand, eight hundred twenty".