531696960 has 280 divisors, whose sum is σ = 1924071336. Its totient is φ = 139345920.

The previous prime is 531696941. The next prime is 531696961. The reversal of 531696960 is 69696135.

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 432972864 = 9936^2 + 20808^2 .

It is a super-3 number, since 3×531696960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531696961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1892020 + ... + 1892300.

Almost surely, 2^531696960 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 531696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962035668).

531696960 is an abundant number, since it is smaller than the sum of its proper divisors (1392374376).

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

531696960 is a wasteful number, since it uses less digits than its factorization.

531696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 531696960 is about 23058.5550284488. Note that the first 3 decimals coincide. The cubic root of 531696960 is about 810.1300202804.

The spelling of 531696960 in words is "five hundred thirty-one million, six hundred ninety-six thousand, nine hundred sixty".