241636640 has 240 divisors, whose sum is σ = 724204152. Its totient is φ = 75866112.

The previous prime is 241636609. The next prime is 241636649. The reversal of 241636640 is 46636142.

It can be written as a sum of positive squares in 4 ways, for example, as 239754256 + 1882384 = 15484^2 + 1372^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 241636597 and 241636606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241636649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6530702 + ... + 6530738.

Almost surely, 2^241636640 is an apocalyptic number.

241636640 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 241636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362102076).

241636640 is an abundant number, since it is smaller than the sum of its proper divisors (482567512).

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

241636640 is an equidigital number, since it uses as much as digits as its factorization.

241636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 241636640 is about 15544.6659661763. The cubic root of 241636640 is about 622.8559192123.

It can be divided in two parts, 24163 and 6640, that added together give a palindrome (30803).

The spelling of 241636640 in words is "two hundred forty-one million, six hundred thirty-six thousand, six hundred forty".