527642880 has 144 divisors (see below), whose sum is σ = 1694394240. Its totient is φ = 139935744.

The previous prime is 527642879. The next prime is 527642891. The reversal of 527642880 is 88246725.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201701 + ... + 1202139.

Almost surely, 2^527642880 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 527642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847197120).

527642880 is an abundant number, since it is smaller than the sum of its proper divisors (1166751360).

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

527642880 is a wasteful number, since it uses less digits than its factorization.

527642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 527642880 is about 22970.4784451696. The cubic root of 527642880 is about 808.0657398396.

The spelling of 527642880 in words is "five hundred twenty-seven million, six hundred forty-two thousand, eight hundred eighty".