202084020 has 72 divisors (see below), whose sum is σ = 626056704. Its totient is φ = 52740288.

The previous prime is 202083997. The next prime is 202084021. The reversal of 202084020 is 20480202.

It is a super-2 number, since 2×202084020² = 81675902278720800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 202083984 and 202084002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202084021) 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 23 ways as a sum of consecutive naturals, for example, 3484 + ... + 20403.

It is an arithmetic number, because the mean of its divisors is an integer number (8695232).

Almost surely, 2^202084020 is an apocalyptic number.

202084020 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 202084020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313028352).

202084020 is an abundant number, since it is smaller than the sum of its proper divisors (423972684).

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

202084020 is a wasteful number, since it uses less digits than its factorization.

202084020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23949 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 202084020 is about 14215.6259095405. The cubic root of 202084020 is about 586.8277701209.

The spelling of 202084020 in words is "two hundred two million, eighty-four thousand, twenty".