5841600 has 84 divisors (see below), whose sum is σ = 19181064. Its totient is φ = 1556480.

The previous prime is 5841587. The next prime is 5841601. The reversal of 5841600 is 61485.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5841601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 5408.

It is an arithmetic number, because the mean of its divisors is an integer number (228346).

Almost surely, 2^5841600 is an apocalyptic number.

5841600 is a gapful number since it is divisible by the number (50) 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 5841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590532).

5841600 is an abundant number, since it is smaller than the sum of its proper divisors (13339464).

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

5841600 is a wasteful number, since it uses less digits than its factorization.

5841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5841600 is about 2416.9402144033. The cubic root of 5841600 is about 180.0987112893.

It can be divided in two parts, 5841 and 600, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 5841600 in words is "five million, eight hundred forty-one thousand, six hundred".