631368 has 64 divisors (see below), whose sum is σ = 1824000. Its totient is φ = 202176.

The previous prime is 631361. The next prime is 631387. The reversal of 631368 is 863136.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (631361) by changing a digit.

631368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7953 + ... + 8031.

It is an arithmetic number, because the mean of its divisors is an integer number (28500).

2⁶³¹³⁶⁸ 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 631368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912000).

631368 is an abundant number, since it is smaller than the sum of its proper divisors (1192632).

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

631368 is a wasteful number, since it uses less digits than its factorization.

631368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 631368 is about 794.5866850130. The cubic root of 631368 is about 85.7881933972.

It can be divided in two parts, 631 and 368, that added together give a palindrome (999).

The spelling of 631368 in words is "six hundred thirty-one thousand, three hundred sixty-eight".