631536 has 40 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 206016.

The previous prime is 631531. The next prime is 631537. The reversal of 631536 is 635136.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631531) by changing a digit.

631536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2721 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2⁶³¹⁵³⁶ 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 631536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

631536 is an abundant number, since it is smaller than the sum of its proper divisors (1035024).

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

631536 is a wasteful number, since it uses less digits than its factorization.

631536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 631536 is about 794.6923933196. The cubic root of 631536 is about 85.7958018170.

Subtracting 631536 from its reverse (635136), we obtain a square (3600 = 60²).

The spelling of 631536 in words is "six hundred thirty-one thousand, five hundred thirty-six".