631816560 has 240 divisors, whose sum is σ = 2303290080. Its totient is φ = 154583040.

The previous prime is 631816531. The next prime is 631816567. The reversal of 631816560 is 65618136.

It is a happy number.

631816560 is a `hidden beast` number, since 631 + 8 + 16 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631816567) 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, 501211 + ... + 502469.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042).

Almost surely, 2^631816560 is an apocalyptic number.

631816560 is a gapful number since it is divisible by the number (60) 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 631816560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151645040).

631816560 is an abundant number, since it is smaller than the sum of its proper divisors (1671473520).

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

631816560 is a wasteful number, since it uses less digits than its factorization.

631816560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 631816560 is about 25135.9614894676. The cubic root of 631816560 is about 858.0850487033.

The spelling of 631816560 in words is "six hundred thirty-one million, eight hundred sixteen thousand, five hundred sixty".