5875632 has 160 divisors (see below), whose sum is σ = 20236800. Its totient is φ = 1596672.

The previous prime is 5875631. The next prime is 5875643. The reversal of 5875632 is 2365785.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (50400) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (5875631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87663 + ... + 87729.

It is an arithmetic number, because the mean of its divisors is an integer number (126480).

Almost surely, 2^5875632 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 5875632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118400).

5875632 is an abundant number, since it is smaller than the sum of its proper divisors (14361168).

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

5875632 is a wasteful number, since it uses less digits than its factorization.

5875632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5875632 is about 2423.9702968477. The cubic root of 5875632 is about 180.4477740674.

The spelling of 5875632 in words is "five million, eight hundred seventy-five thousand, six hundred thirty-two".