527665320 has 576 divisors, whose sum is σ = 2253096000. Its totient is φ = 109444608.

The previous prime is 527665319. The next prime is 527665331. The reversal of 527665320 is 23566725.

It is a happy number.

527665320 is a `hidden beast` number, since 5 + 276 + 65 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8943451 + ... + 8943509.

It is an arithmetic number, because the mean of its divisors is an integer number (3911625).

Almost surely, 2^527665320 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 527665320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126548000).

527665320 is an abundant number, since it is smaller than the sum of its proper divisors (1725430680).

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

527665320 is a wasteful number, since it uses less digits than its factorization.

527665320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 527665320 is about 22970.9668930152. The cubic root of 527665320 is about 808.0771950231.

The spelling of 527665320 in words is "five hundred twenty-seven million, six hundred sixty-five thousand, three hundred twenty".