671628636 has 72 divisors (see below), whose sum is σ = 1969269120. Its totient is φ = 189025056.

The previous prime is 671628599. The next prime is 671628677. The reversal of 671628636 is 636826176.

671628636 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 2 + 8 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 671628591 and 671628600.

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, 3006 + ... + 36773.

It is an arithmetic number, because the mean of its divisors is an integer number (27350960).

Almost surely, 2^671628636 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 671628636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984634560).

671628636 is an abundant number, since it is smaller than the sum of its proper divisors (1297640484).

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

671628636 is a wasteful number, since it uses less digits than its factorization.

671628636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39863 (or 39858 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 671628636 is about 25915.7989651101. The cubic root of 671628636 is about 875.7424494623.

The spelling of 671628636 in words is "six hundred seventy-one million, six hundred twenty-eight thousand, six hundred thirty-six".