5631400 has 48 divisors (see below), whose sum is σ = 13464540. Its totient is φ = 2188800.

The previous prime is 5631383. The next prime is 5631401. The reversal of 5631400 is 41365.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 4318084 = 1146^2 + 2078^2 .

It is not an unprimeable number, because it can be changed into a prime (5631401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7020 + ... + 7780.

Almost surely, 2^5631400 is an apocalyptic number.

5631400 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 5631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732270).

5631400 is an abundant number, since it is smaller than the sum of its proper divisors (7833140).

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

5631400 is a wasteful number, since it uses less digits than its factorization.

5631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5631400 is about 2373.0571000294. The cubic root of 5631400 is about 177.9120888959.

Adding to 5631400 its reverse (41365), we get a palindrome (5672765).

The spelling of 5631400 in words is "five million, six hundred thirty-one thousand, four hundred".