527679360 has 512 divisors, whose sum is σ = 2107728000. Its totient is φ = 125411328.

The previous prime is 527679349. The next prime is 527679367. The reversal of 527679360 is 63976725.

527679360 is a `hidden beast` number, since 527 + 67 + 9 + 3 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527679367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18195826 + ... + 18195854.

Almost surely, 2^527679360 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 527679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053864000).

527679360 is an abundant number, since it is smaller than the sum of its proper divisors (1580048640).

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

527679360 is an equidigital number, since it uses as much as digits as its factorization.

527679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 527679360 is about 22971.2724941393. The cubic root of 527679360 is about 808.0843620049.

The spelling of 527679360 in words is "five hundred twenty-seven million, six hundred seventy-nine thousand, three hundred sixty".