527742120 has 128 divisors (see below), whose sum is σ = 1617408000. Its totient is φ = 137729280.

The previous prime is 527742113. The next prime is 527742133. The reversal of 527742120 is 21247725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696765 + ... + 1697075.

It is an arithmetic number, because the mean of its divisors is an integer number (12636000).

Almost surely, 2^527742120 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 527742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

527742120 is an abundant number, since it is smaller than the sum of its proper divisors (1089665880).

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

527742120 is a wasteful number, since it uses less digits than its factorization.

527742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 527742120 is about 22972.6385075811. The cubic root of 527742120 is about 808.1163974718.

Adding to 527742120 its reverse (21247725), we get a palindrome (548989845).

The spelling of 527742120 in words is "five hundred twenty-seven million, seven hundred forty-two thousand, one hundred twenty".