527829120 has 768 divisors, whose sum is σ = 2405894400. Its totient is φ = 103514112.

The previous prime is 527829103. The next prime is 527829151. The reversal of 527829120 is 21928725.

527829120 is a `hidden beast` number, since 527 + 8 + 2 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9959014 + ... + 9959066.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^527829120 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 527829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

527829120 is an abundant number, since it is smaller than the sum of its proper divisors (1878065280).

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

527829120 is a wasteful number, since it uses less digits than its factorization.

527829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 527829120 is about 22974.5319865280. The cubic root of 527829120 is about 808.1608019015.

The spelling of 527829120 in words is "five hundred twenty-seven million, eight hundred twenty-nine thousand, one hundred twenty".