531376560 has 360 divisors, whose sum is σ = 2113351344. Its totient is φ = 118609920.

The previous prime is 531376493. The next prime is 531376561. The reversal of 531376560 is 65673135.

It is a happy number.

531376560 is a `hidden beast` number, since 531 + 3 + 7 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×531376560² = 564722097034867200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531376561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338282 + ... + 1338678.

Almost surely, 2^531376560 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 531376560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056675672).

531376560 is an abundant number, since it is smaller than the sum of its proper divisors (1581974784).

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

531376560 is a wasteful number, since it uses less digits than its factorization.

531376560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 531376560 is about 23051.6064516120. The cubic root of 531376560 is about 809.9672597649.

The spelling of 531376560 in words is "five hundred thirty-one million, three hundred seventy-six thousand, five hundred sixty".