527361120 has 432 divisors, whose sum is σ = 2136646512. Its totient is φ = 117411840.

The previous prime is 527361083. The next prime is 527361139. The reversal of 527361120 is 21163725.

It is a happy number.

527361120 is a `hidden beast` number, since 5 + 27 + 3 + 611 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2676862 + ... + 2677058.

It is an arithmetic number, because the mean of its divisors is an integer number (4945941).

Almost surely, 2^527361120 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 527361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068323256).

527361120 is an abundant number, since it is smaller than the sum of its proper divisors (1609285392).

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

527361120 is a wasteful number, since it uses less digits than its factorization.

527361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 527361120 is about 22964.3445366943. The cubic root of 527361120 is about 807.9218791903.

The spelling of 527361120 in words is "five hundred twenty-seven million, three hundred sixty-one thousand, one hundred twenty".