5837632 has 28 divisors (see below), whose sum is σ = 11809476. Its totient is φ = 2862080.

The previous prime is 5837627. The next prime is 5837633. The reversal of 5837632 is 2367385.

5837632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 1577536 = 2064^2 + 1256^2 .

It is a d-powerful number, because it can be written as 5⁴ + 8² + 3² + 7⁸ + 6² + 3⁸ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5837633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2532 + ... + 4252.

It is an arithmetic number, because the mean of its divisors is an integer number (421767).

Almost surely, 2^5837632 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 5837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904738).

5837632 is an abundant number, since it is smaller than the sum of its proper divisors (5971844).

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

5837632 is a wasteful number, since it uses less digits than its factorization.

5837632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1776 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 5837632 is about 2416.1192023574. The cubic root of 5837632 is about 180.0579237451.

The spelling of 5837632 in words is "five million, eight hundred thirty-seven thousand, six hundred thirty-two".