5605700 has 36 divisors (see below), whose sum is σ = 12590340. Its totient is φ = 2163840.

The previous prime is 5605697. The next prime is 5605709. The reversal of 5605700 is 75065.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 5597956 = 88^2 + 2366^2 .

It is not an unprimeable number, because it can be changed into a prime (5605709) 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, 1934 + ... + 3866.

Almost surely, 2^5605700 is an apocalyptic number.

5605700 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 5605700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295170).

5605700 is an abundant number, since it is smaller than the sum of its proper divisors (6984640).

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

5605700 is a wasteful number, since it uses less digits than its factorization.

5605700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 5605700 is about 2367.6359517460. The cubic root of 5605700 is about 177.6410305466.

The spelling of 5605700 in words is "five million, six hundred five thousand, seven hundred".