527330664 has 192 divisors, whose sum is σ = 1709136000. Its totient is φ = 143700480.

The previous prime is 527330663. The next prime is 527330711. The reversal of 527330664 is 466033725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (527330663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592979 + ... + 1593309.

It is an arithmetic number, because the mean of its divisors is an integer number (8901750).

Almost surely, 2^527330664 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 527330664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854568000).

527330664 is an abundant number, since it is smaller than the sum of its proper divisors (1181805336).

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

527330664 is a wasteful number, since it uses less digits than its factorization.

527330664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 527330664 is about 22963.6814121778. The cubic root of 527330664 is about 807.9063259375.

It can be divided in two parts, 5273 and 30664, that added together give a cube (35937 = 33³).

The spelling of 527330664 in words is "five hundred twenty-seven million, three hundred thirty thousand, six hundred sixty-four".