631780560 has 320 divisors, whose sum is σ = 2313423360. Its totient is φ = 160123392.

The previous prime is 631780529. The next prime is 631780561. The reversal of 631780560 is 65087136.

631780560 is a `hidden beast` number, since 6 + 3 + 17 + 80 + 560 = 666.

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 (631780561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4024002 + ... + 4024158.

It is an arithmetic number, because the mean of its divisors is an integer number (7229448).

Almost surely, 2^631780560 is an apocalyptic number.

631780560 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 631780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156711680).

631780560 is an abundant number, since it is smaller than the sum of its proper divisors (1681642800).

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

631780560 is a wasteful number, since it uses less digits than its factorization.

631780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 631780560 is about 25135.2453737774. The cubic root of 631780560 is about 858.0687509093.

The spelling of 631780560 in words is "six hundred thirty-one million, seven hundred eighty thousand, five hundred sixty".