531648 has 84 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 161280.

The previous prime is 531637. The next prime is 531667. The reversal of 531648 is 846135.

It is an unprimeable number.

531648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7453 + ... + 7523.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2⁵³¹⁶⁴⁸ 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 531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

531648 is an abundant number, since it is smaller than the sum of its proper divisors (1132560).

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

531648 is a wasteful number, since it uses less digits than its factorization.

531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 531648 is about 729.1419614862. The cubic root of 531648 is about 81.0105153244.

The spelling of 531648 in words is "five hundred thirty-one thousand, six hundred forty-eight".