527097960 has 192 divisors, whose sum is σ = 1795322880. Its totient is φ = 133954560.

The previous prime is 527097953. The next prime is 527097973. The reversal of 527097960 is 69790725.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814357 + ... + 815003.

It is an arithmetic number, because the mean of its divisors is an integer number (9350640).

Almost surely, 2^527097960 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 527097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897661440).

527097960 is an abundant number, since it is smaller than the sum of its proper divisors (1268224920).

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

527097960 is a wasteful number, since it uses less digits than its factorization.

527097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 527097960 is about 22958.6140696689. The cubic root of 527097960 is about 807.7874690180.

The spelling of 527097960 in words is "five hundred twenty-seven million, ninety-seven thousand, nine hundred sixty".