5905600 has 42 divisors (see below), whose sum is σ = 14535404. Its totient is φ = 2361600.

The previous prime is 5905573. The next prime is 5905609. The reversal of 5905600 is 65095.

It is a happy number.

It is a super-2 number, since 2×5905600² = 69752222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5905609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246 + ... + 3445.

Almost surely, 2^5905600 is an apocalyptic number.

5905600 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 5905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267702).

5905600 is an abundant number, since it is smaller than the sum of its proper divisors (8629804).

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

5905600 is a wasteful number, since it uses less digits than its factorization.

5905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 5905600 is about 2430.1440286534. The cubic root of 5905600 is about 180.7540384906.

The spelling of 5905600 in words is "five million, nine hundred five thousand, six hundred".