541837632 has 112 divisors (see below), whose sum is σ = 1678545792. Its totient is φ = 151019520.

The previous prime is 541837631. The next prime is 541837633. The reversal of 541837632 is 236738145.

It is an interprime number because it is at equal distance from previous prime (541837631) and next prime (541837633).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541837631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50188 + ... + 60020.

It is an arithmetic number, because the mean of its divisors is an integer number (14987016).

Almost surely, 2^541837632 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 541837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839272896).

541837632 is an abundant number, since it is smaller than the sum of its proper divisors (1136708160).

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

541837632 is a wasteful number, since it uses less digits than its factorization.

541837632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9886 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 541837632 is about 23277.4060410519. The cubic root of 541837632 is about 815.2479614860.

The spelling of 541837632 in words is "five hundred forty-one million, eight hundred thirty-seven thousand, six hundred thirty-two".