541361632 has 48 divisors (see below), whose sum is σ = 1226897280. Its totient is φ = 230329728.

The previous prime is 541361627. The next prime is 541361657. The reversal of 541361632 is 236163145.

It is a junction number, because it is equal to n+sod(n) for n = 541361594 and 541361603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22443 + ... + 39829.

It is an arithmetic number, because the mean of its divisors is an integer number (25560360).

Almost surely, 2^541361632 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 541361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613448640).

541361632 is an abundant number, since it is smaller than the sum of its proper divisors (685535648).

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

541361632 is a wasteful number, since it uses less digits than its factorization.

541361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17543 (or 17535 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 541361632 is about 23267.1792875716. The cubic root of 541361632 is about 815.0091619530.

The spelling of 541361632 in words is "five hundred forty-one million, three hundred sixty-one thousand, six hundred thirty-two".