541763640 has 256 divisors, whose sum is σ = 1997913600. Its totient is φ = 131103360.

The previous prime is 541763639. The next prime is 541763647. The reversal of 541763640 is 46367145.

It is a happy number.

541763640 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 541763595 and 541763604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541763647) 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, 961999 + ... + 962561.

It is an arithmetic number, because the mean of its divisors is an integer number (7804350).

Almost surely, 2^541763640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998956800).

541763640 is an abundant number, since it is smaller than the sum of its proper divisors (1456149960).

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

541763640 is a wasteful number, since it uses less digits than its factorization.

541763640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 541763640 is about 23275.8166344384. The cubic root of 541763640 is about 815.2108503851.

The spelling of 541763640 in words is "five hundred forty-one million, seven hundred sixty-three thousand, six hundred forty".