5909800 has 48 divisors (see below), whose sum is σ = 14803740. Its totient is φ = 2181120.

The previous prime is 5909797. The next prime is 5909807. The reversal of 5909800 is 89095.

It can be written as a sum of positive squares in 6 ways, for example, as 2292196 + 3617604 = 1514^2 + 1902^2 .

It is not an unprimeable number, because it can be changed into a prime (5909807) 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, 1464 + ... + 3736.

Almost surely, 2^5909800 is an apocalyptic number.

5909800 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 5909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401870).

5909800 is an abundant number, since it is smaller than the sum of its proper divisors (8893940).

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

5909800 is a wasteful number, since it uses less digits than its factorization.

5909800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 5909800 is about 2431.0080213771. The cubic root of 5909800 is about 180.7968784540.

The spelling of 5909800 in words is "five million, nine hundred nine thousand, eight hundred".