527090560 has 128 divisors (see below), whose sum is σ = 1308700800. Its totient is φ = 202868736.

The previous prime is 527090549. The next prime is 527090611. The reversal of 527090560 is 65090725.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×527090560² = 555648916882227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944551 + ... + 2944729.

It is an arithmetic number, because the mean of its divisors is an integer number (10224225).

Almost surely, 2^527090560 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 527090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654350400).

527090560 is an abundant number, since it is smaller than the sum of its proper divisors (781610240).

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

527090560 is a wasteful number, since it uses less digits than its factorization.

527090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 527090560 is about 22958.4529095495. The cubic root of 527090560 is about 807.7836887876.

The spelling of 527090560 in words is "five hundred twenty-seven million, ninety thousand, five hundred sixty".