531164160 has 132 divisors (see below), whose sum is σ = 1840629648. Its totient is φ = 141631488.

The previous prime is 531164129. The next prime is 531164191. The reversal of 531164160 is 61461135.

531164160 is a `hidden beast` number, since 5 + 3 + 11 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (531164129) and next prime (531164191).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40317 + ... + 51843.

It is an arithmetic number, because the mean of its divisors is an integer number (13944164).

Almost surely, 2^531164160 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 531164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920314824).

531164160 is an abundant number, since it is smaller than the sum of its proper divisors (1309465488).

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

531164160 is a wasteful number, since it uses less digits than its factorization.

531164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 531164160 is about 23046.9989369549. The cubic root of 531164160 is about 809.8593262792.

The spelling of 531164160 in words is "five hundred thirty-one million, one hundred sixty-four thousand, one hundred sixty".