527280096 has 192 divisors, whose sum is σ = 1694891520. Its totient is φ = 140175360.

The previous prime is 527280079. The next prime is 527280097. The reversal of 527280096 is 690082725.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527280097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778510 + ... + 779186.

It is an arithmetic number, because the mean of its divisors is an integer number (8827560).

Almost surely, 2^527280096 is an apocalyptic number.

527280096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847445760).

527280096 is an abundant number, since it is smaller than the sum of its proper divisors (1167611424).

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

527280096 is a wasteful number, since it uses less digits than its factorization.

527280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 527280096 is about 22962.5803428099. The cubic root of 527280096 is about 807.8805005773.

The spelling of 527280096 in words is "five hundred twenty-seven million, two hundred eighty thousand, ninety-six".