262800020 has 96 divisors (see below), whose sum is σ = 685547520. Its totient is φ = 82581120.

The previous prime is 262800019. The next prime is 262800029. The reversal of 262800020 is 20008262.

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 = 262799965 and 262800001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262800029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80867 + ... + 84053.

It is an arithmetic number, because the mean of its divisors is an integer number (7141120).

Almost surely, 2^262800020 is an apocalyptic number.

262800020 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 262800020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342773760).

262800020 is an abundant number, since it is smaller than the sum of its proper divisors (422747500).

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

262800020 is a wasteful number, since it uses less digits than its factorization.

262800020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 262800020 is about 16211.1079201886. The cubic root of 262800020 is about 640.5334257208.

Adding to 262800020 its reverse (20008262), we get a palindrome (282808282).

The spelling of 262800020 in words is "two hundred sixty-two million, eight hundred thousand, twenty".