631659672 has 192 divisors, whose sum is σ = 2111616000. Its totient is φ = 166586112.

The previous prime is 631659661. The next prime is 631659673. The reversal of 631659672 is 276956136.

631659672 is a `hidden beast` number, since 631 + 6 + 5 + 9 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×631659672² = 797987882462295168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631659673) 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, 335229 + ... + 337107.

It is an arithmetic number, because the mean of its divisors is an integer number (10998000).

Almost surely, 2^631659672 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 631659672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055808000).

631659672 is an abundant number, since it is smaller than the sum of its proper divisors (1479956328).

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

631659672 is a wasteful number, since it uses less digits than its factorization.

631659672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1943 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 631659672 is about 25132.8405079887. The cubic root of 631659672 is about 858.0140183864.

The spelling of 631659672 in words is "six hundred thirty-one million, six hundred fifty-nine thousand, six hundred seventy-two".