541435664 has 80 divisors (see below), whose sum is σ = 1324677120. Its totient is φ = 208241280.

The previous prime is 541435589. The next prime is 541435673. The reversal of 541435664 is 466534145.

It is a super-2 number, since 2×541435664² = 586305156502241792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94547 + ... + 100109.

It is an arithmetic number, because the mean of its divisors is an integer number (16558464).

Almost surely, 2^541435664 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 541435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662338560).

541435664 is an abundant number, since it is smaller than the sum of its proper divisors (783241456).

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

541435664 is a wasteful number, since it uses less digits than its factorization.

541435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5662 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 541435664 is about 23268.7701436926. The cubic root of 541435664 is about 815.0463114938.

The spelling of 541435664 in words is "five hundred forty-one million, four hundred thirty-five thousand, six hundred sixty-four".