527038080 has 256 divisors, whose sum is σ = 1812792960. Its totient is φ = 129761280.

The previous prime is 527038079. The next prime is 527038081. The reversal of 527038080 is 80830725.

It is an interprime number because it is at equal distance from previous prime (527038079) and next prime (527038081).

It is not an unprimeable number, because it can be changed into a prime (527038081) 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, 2186760 + ... + 2187000.

Almost surely, 2^527038080 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 527038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906396480).

527038080 is an abundant number, since it is smaller than the sum of its proper divisors (1285754880).

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

527038080 is a wasteful number, since it uses less digits than its factorization.

527038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 527038080 is about 22957.3099469428. The cubic root of 527038080 is about 807.7568787868.

The spelling of 527038080 in words is "five hundred twenty-seven million, thirty-eight thousand, eighty".