527264640 has 320 divisors, whose sum is σ = 2153432160. Its totient is φ = 120434688.

The previous prime is 527264623. The next prime is 527264641. The reversal of 527264640 is 46462725.

527264640 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 527264595 and 527264604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527264641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362154 + ... + 363606.

Almost surely, 2^527264640 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 527264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076716080).

527264640 is an abundant number, since it is smaller than the sum of its proper divisors (1626167520).

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

527264640 is a wasteful number, since it uses less digits than its factorization.

527264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 527264640 is about 22962.2437928004. The cubic root of 527264640 is about 807.8726067823.

The spelling of 527264640 in words is "five hundred twenty-seven million, two hundred sixty-four thousand, six hundred forty".