5876832 has 96 divisors (see below), whose sum is σ = 17654112. Its totient is φ = 1695744.

The previous prime is 5876809. The next prime is 5876839. The reversal of 5876832 is 2386785.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (80640) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5876839) 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, 21078 + ... + 21354.

It is an arithmetic number, because the mean of its divisors is an integer number (183897).

Almost surely, 2^5876832 is an apocalyptic number.

5876832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5876832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827056).

5876832 is an abundant number, since it is smaller than the sum of its proper divisors (11777280).

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

5876832 is a wasteful number, since it uses less digits than its factorization.

5876832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 5876832 is about 2424.2178119963. The cubic root of 5876832 is about 180.4600577156.

The spelling of 5876832 in words is "five million, eight hundred seventy-six thousand, eight hundred thirty-two".