631520064 has 168 divisors, whose sum is σ = 2145718848. Its totient is φ = 180403200.

The previous prime is 631520047. The next prime is 631520077. The reversal of 631520064 is 460025136.

631520064 is a `hidden beast` number, since 631 + 5 + 20 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×631520064³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105964 + ... + 111764.

It is an arithmetic number, because the mean of its divisors is an integer number (12772136).

Almost surely, 2^631520064 is an apocalyptic number.

631520064 is a gapful number since it is divisible by the number (64) 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 631520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072859424).

631520064 is an abundant number, since it is smaller than the sum of its proper divisors (1514198784).

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

631520064 is an equidigital number, since it uses as much as digits as its factorization.

631520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 631520064 is about 25130.0629525674. The cubic root of 631520064 is about 857.9508016193.

The spelling of 631520064 in words is "six hundred thirty-one million, five hundred twenty thousand, sixty-four".