631461336 has 128 divisors (see below), whose sum is σ = 1778837760. Its totient is φ = 185139200.

The previous prime is 631461329. The next prime is 631461361. The reversal of 631461336 is 633164136.

631461336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a junction number, because it is equal to n+sod(n) for n = 631461297 and 631461306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456920 + ... + 2457176.

It is an arithmetic number, because the mean of its divisors is an integer number (13897170).

Almost surely, 2^631461336 is an apocalyptic number.

631461336 is a gapful number since it is divisible by the number (66) 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 631461336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889418880).

631461336 is an abundant number, since it is smaller than the sum of its proper divisors (1147376424).

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

631461336 is a wasteful number, since it uses less digits than its factorization.

631461336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 631461336 is about 25128.8944444438. The cubic root of 631461336 is about 857.9242058443.

The spelling of 631461336 in words is "six hundred thirty-one million, four hundred sixty-one thousand, three hundred thirty-six".