263241020 has 72 divisors (see below), whose sum is σ = 642520032. Its totient is φ = 88744320.

The previous prime is 263241007. The next prime is 263241023. The reversal of 263241020 is 20142362.

It is a super-2 number, since 2×263241020² = 138591669221280800, 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 = 263240983 and 263241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263241023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705554 + ... + 705926.

Almost surely, 2^263241020 is an apocalyptic number.

263241020 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 263241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321260016).

263241020 is an abundant number, since it is smaller than the sum of its proper divisors (379279012).

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

263241020 is a wasteful number, since it uses less digits than its factorization.

263241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 458 counting only the distinct ones).

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

The square root of 263241020 is about 16224.7040034634. The cubic root of 263241020 is about 640.8915147122.

Adding to 263241020 its reverse (20142362), we get a palindrome (283383382).

The spelling of 263241020 in words is "two hundred sixty-three million, two hundred forty-one thousand, twenty".