631333248 has 384 divisors, whose sum is σ = 2197692000. Its totient is φ = 158957568.

The previous prime is 631333243. The next prime is 631333289. The reversal of 631333248 is 842333136.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (31104) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631333243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7093588 + ... + 7093676.

Almost surely, 2^631333248 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 631333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098846000).

631333248 is an abundant number, since it is smaller than the sum of its proper divisors (1566358752).

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

631333248 is a wasteful number, since it uses less digits than its factorization.

631333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 631333248 is about 25126.3456953056. The cubic root of 631333248 is about 857.8661937273.

The spelling of 631333248 in words is "six hundred thirty-one million, three hundred thirty-three thousand, two hundred forty-eight".