527576640 has 112 divisors (see below), whose sum is σ = 1773643392. Its totient is φ = 132407296.

The previous prime is 527576627. The next prime is 527576641. The reversal of 527576640 is 46675725.

It is a super-2 number, since 2×527576640² = 556674222147379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 527576592 and 527576601.

It is not an unprimeable number, because it can be changed into a prime (527576641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157 + ... + 32483.

Almost surely, 2^527576640 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 527576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886821696).

527576640 is an abundant number, since it is smaller than the sum of its proper divisors (1246066752).

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

527576640 is a wasteful number, since it uses less digits than its factorization.

527576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32364 (or 32354 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 527576640 is about 22969.0365492330. The cubic root of 527576640 is about 808.0319237134.

The spelling of 527576640 in words is "five hundred twenty-seven million, five hundred seventy-six thousand, six hundred forty".