527696820 has 288 divisors, whose sum is σ = 1937295360. Its totient is φ = 113667840.

The previous prime is 527696749. The next prime is 527696839. The reversal of 527696820 is 28696725.

527696820 is a `hidden beast` number, since 527 + 69 + 68 + 2 + 0 = 666.

It is a super-2 number, since 2×527696820² = 556927867676224800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3796311 + ... + 3796449.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2^527696820 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 527696820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968647680).

527696820 is an abundant number, since it is smaller than the sum of its proper divisors (1409598540).

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

527696820 is a wasteful number, since it uses less digits than its factorization.

527696820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 527696820 is about 22971.6525308912. The cubic root of 527696820 is about 808.0932746126.

The spelling of 527696820 in words is "five hundred twenty-seven million, six hundred ninety-six thousand, eight hundred twenty".