5610400 has 36 divisors (see below), whose sum is σ = 13698342. Its totient is φ = 2243840.

The previous prime is 5610389. The next prime is 5610401. The reversal of 5610400 is 40165.

5610400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 4963984 + 646416 = 2228^2 + 804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5610401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2707 + ... + 4306.

Almost surely, 2^5610400 is an apocalyptic number.

5610400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5610400 is an abundant number, since it is smaller than the sum of its proper divisors (8087942).

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

5610400 is a wasteful number, since it uses less digits than its factorization.

5610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5610400 is about 2368.6282950265. The cubic root of 5610400 is about 177.6906633378.

Adding to 5610400 its reverse (40165), we get a palindrome (5650565).

The spelling of 5610400 in words is "five million, six hundred ten thousand, four hundred".