631400 has 96 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 192000.

The previous prime is 631399. The next prime is 631409. The reversal of 631400 is 4136.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (631409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15380 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁶³¹⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

631400 is an abundant number, since it is smaller than the sum of its proper divisors (1243480).

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

631400 is a wasteful number, since it uses less digits than its factorization.

631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 631400 is about 794.6068210128. The cubic root of 631400 is about 85.7896427240.

Adding to 631400 its reverse (4136), we get a palindrome (635536).

Subtracting from 631400 its reverse (4136), we obtain a square (627264 = 792²).

The spelling of 631400 in words is "six hundred thirty-one thousand, four hundred".