203642120 has 64 divisors (see below), whose sum is σ = 503807040. Its totient is φ = 73465600.

The previous prime is 203642119. The next prime is 203642141. The reversal of 203642120 is 21246302.

203642120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×203642120² = 82940226076188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203642092 and 203642101.

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, 55874 + ... + 59406.

It is an arithmetic number, because the mean of its divisors is an integer number (7871985).

Almost surely, 2^203642120 is an apocalyptic number.

203642120 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 203642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

203642120 is an abundant number, since it is smaller than the sum of its proper divisors (300164920).

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

203642120 is a wasteful number, since it uses less digits than its factorization.

203642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 203642120 is about 14270.3230517042. The cubic root of 203642120 is about 588.3320890831.

Adding to 203642120 its reverse (21246302), we get a palindrome (224888422).

The spelling of 203642120 in words is "two hundred three million, six hundred forty-two thousand, one hundred twenty".