527990760 has 576 divisors, whose sum is σ = 2151152640. Its totient is φ = 111513600.

The previous prime is 527990759. The next prime is 527990761. The reversal of 527990760 is 67099725.

It is an interprime number because it is at equal distance from previous prime (527990759) and next prime (527990761).

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

It is not an unprimeable number, because it can be changed into a prime (527990761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17031945 + ... + 17031975.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^527990760 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 527990760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

527990760 is an abundant number, since it is smaller than the sum of its proper divisors (1623161880).

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

527990760 is a wasteful number, since it uses less digits than its factorization.

527990760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

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

The square root of 527990760 is about 22978.0495255798. The cubic root of 527990760 is about 808.2432893169.

The spelling of 527990760 in words is "five hundred twenty-seven million, nine hundred ninety thousand, seven hundred sixty".