527368968 has 240 divisors, whose sum is σ = 1821221820. Its totient is φ = 141668352.

The previous prime is 527368967. The next prime is 527368991. The reversal of 527368968 is 869863725.

It is a happy number.

527368968 is a `hidden beast` number, since 527 + 36 + 89 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 442765764 + 84603204 = 21042^2 + 9198^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527368967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 539296 + ... + 540272.

Almost surely, 2^527368968 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 527368968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910610910).

527368968 is an abundant number, since it is smaller than the sum of its proper divisors (1293852852).

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

527368968 is a wasteful number, since it uses less digits than its factorization.

527368968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1006 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 527368968 is about 22964.5154096489. The cubic root of 527368968 is about 807.9258869055.

The spelling of 527368968 in words is "five hundred twenty-seven million, three hundred sixty-eight thousand, nine hundred sixty-eight".