527678032 has 120 divisors (see below), whose sum is σ = 1275965952. Its totient is φ = 206841600.

The previous prime is 527678023. The next prime is 527678033. The reversal of 527678032 is 230876725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527678033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253182 + ... + 1253602.

Almost surely, 2^527678032 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 527678032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637982976).

527678032 is an abundant number, since it is smaller than the sum of its proper divisors (748287920).

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

527678032 is a wasteful number, since it uses less digits than its factorization.

527678032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 527678032 is about 22971.2435884521. The cubic root of 527678032 is about 808.0836841078.

The spelling of 527678032 in words is "five hundred twenty-seven million, six hundred seventy-eight thousand, thirty-two".