262020 has 48 divisors (see below), whose sum is σ = 802368. Its totient is φ = 63360.

The previous prime is 262007. The next prime is 262027. The reversal of 262020 is 20262.

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 = 261987 and 262005.

It is not an unprimeable number, because it can be changed into a prime (262027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (16716).

2²⁶²⁰²⁰ is an apocalyptic number.

262020 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 262020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401184).

262020 is an abundant number, since it is smaller than the sum of its proper divisors (540348).

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

262020 is a wasteful number, since it uses less digits than its factorization.

262020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 262020 is about 511.8788919266. The cubic root of 262020 is about 63.9899072626.

Adding to 262020 its reverse (20262), we get a palindrome (282282).

The spelling of 262020 in words is "two hundred sixty-two thousand, twenty".