631616 has 28 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 309120.

The previous prime is 631613. The next prime is 631619. The reversal of 631616 is 616136.

It is an interprime number because it is at equal distance from previous prime (631613) and next prime (631619).

It is a super-3 number, since 3×631616³ = 755928333215858688, which contains 333 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 631591 and 631600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4475 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

2⁶³¹⁶¹⁶ 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 631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

631616 is an abundant number, since it is smaller than the sum of its proper divisors (648544).

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

631616 is a wasteful number, since it uses less digits than its factorization.

631616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 631616 is about 794.7427256666. The cubic root of 631616 is about 85.7994243998.

The spelling of 631616 in words is "six hundred thirty-one thousand, six hundred sixteen".