527163840 has 336 divisors, whose sum is σ = 2104826880. Its totient is φ = 118609920.

The previous prime is 527163809. The next prime is 527163851. The reversal of 527163840 is 48361725.

527163840 is a `hidden beast` number, since 5 + 271 + 6 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×527163840³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 527163795 and 527163804.

It is a congruent number.

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, 1592475 + ... + 1592805.

Almost surely, 2^527163840 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 527163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052413440).

527163840 is an abundant number, since it is smaller than the sum of its proper divisors (1577663040).

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

527163840 is a wasteful number, since it uses less digits than its factorization.

527163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 527163840 is about 22960.0487804360. The cubic root of 527163840 is about 807.8211217262.

The spelling of 527163840 in words is "five hundred twenty-seven million, one hundred sixty-three thousand, eight hundred forty".