541817640 has 512 divisors, whose sum is σ = 2298240000. Its totient is φ = 110481408.

The previous prime is 541817611. The next prime is 541817657. The reversal of 541817640 is 46718145.

It is a happy number.

541817640 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 1 + 7 + 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 = 541817595 and 541817604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3636286 + ... + 3636434.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2^541817640 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 541817640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120000).

541817640 is an abundant number, since it is smaller than the sum of its proper divisors (1756422360).

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

541817640 is a wasteful number, since it uses less digits than its factorization.

541817640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 541817640 is about 23276.9766077985. The cubic root of 541817640 is about 815.2379347199.

The spelling of 541817640 in words is "five hundred forty-one million, eight hundred seventeen thousand, six hundred forty".