531173664 has 144 divisors (see below), whose sum is σ = 1737433152. Its totient is φ = 150787584.

The previous prime is 531173663. The next prime is 531173683. The reversal of 531173664 is 466371135.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×531173664² = 564290922654369792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (531173663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348007 + ... + 349529.

It is an arithmetic number, because the mean of its divisors is an integer number (12065508).

Almost surely, 2^531173664 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 531173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868716576).

531173664 is an abundant number, since it is smaller than the sum of its proper divisors (1206259488).

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

531173664 is a wasteful number, since it uses less digits than its factorization.

531173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1708 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 531173664 is about 23047.2051233984. The cubic root of 531173664 is about 809.8641564602.

The spelling of 531173664 in words is "five hundred thirty-one million, one hundred seventy-three thousand, six hundred sixty-four".