531617664 has 64 divisors (see below), whose sum is σ = 1433255040. Its totient is φ = 174552576.

The previous prime is 531617657. The next prime is 531617717. The reversal of 531617664 is 466716135.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15397 + ... + 36059.

It is an arithmetic number, because the mean of its divisors is an integer number (22394610).

Almost surely, 2^531617664 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 531617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716627520).

531617664 is an abundant number, since it is smaller than the sum of its proper divisors (901637376).

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

531617664 is a wasteful number, since it uses less digits than its factorization.

531617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20747 (or 20735 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 531617664 is about 23056.8355157424. The cubic root of 531617664 is about 810.0897446669.

The spelling of 531617664 in words is "five hundred thirty-one million, six hundred seventeen thousand, six hundred sixty-four".