531787968 has 168 divisors, whose sum is σ = 1607624928. Its totient is φ = 167743488.

The previous prime is 531787961. The next prime is 531788027. The reversal of 531787968 is 869787135.

It is not an unprimeable number, because it can be changed into a prime (531787961) 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, 1814830 + ... + 1815122.

It is an arithmetic number, because the mean of its divisors is an integer number (9569196).

Almost surely, 2^531787968 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 531787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803812464).

531787968 is an abundant number, since it is smaller than the sum of its proper divisors (1075836960).

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

531787968 is a wasteful number, since it uses less digits than its factorization.

531787968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 531787968 is about 23060.5283547450. The cubic root of 531787968 is about 810.1762396574.

The spelling of 531787968 in words is "five hundred thirty-one million, seven hundred eighty-seven thousand, nine hundred sixty-eight".