201520020 has 192 divisors, whose sum is σ = 650280960. Its totient is φ = 46244352.

The previous prime is 201520003. The next prime is 201520021. The reversal of 201520020 is 20025102.

It is a super-2 number, since 2×201520020² = 81220636921600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201519978 and 201520005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201520021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843061 + ... + 843299.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^201520020 is an apocalyptic number.

201520020 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 201520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

201520020 is an abundant number, since it is smaller than the sum of its proper divisors (448760940).

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

201520020 is a wasteful number, since it uses less digits than its factorization.

201520020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 201520020 is about 14195.7747234873. The cubic root of 201520020 is about 586.2813319861.

Adding to 201520020 its reverse (20025102), we get a palindrome (221545122).

The spelling of 201520020 in words is "two hundred one million, five hundred twenty thousand, twenty".