541320640 has 336 divisors, whose sum is σ = 1667865600. Its totient is φ = 166053888.

The previous prime is 541320629. The next prime is 541320673. The reversal of 541320640 is 46023145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6852121 + ... + 6852199.

Almost surely, 2^541320640 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 541320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).

541320640 is an abundant number, since it is smaller than the sum of its proper divisors (1126544960).

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

541320640 is a wasteful number, since it uses less digits than its factorization.

541320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 541320640 is about 23266.2983733984. The cubic root of 541320640 is about 814.9885905538.

Adding to 541320640 its reverse (46023145), we get a palindrome (587343785).

The spelling of 541320640 in words is "five hundred forty-one million, three hundred twenty thousand, six hundred forty".