521632080 has 240 divisors, whose sum is σ = 1953357120. Its totient is φ = 123973632.

The previous prime is 521632043. The next prime is 521632081. The reversal of 521632080 is 80236125.

521632080 is a `hidden beast` number, since 5 + 21 + 632 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521632081) 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, 231439 + ... + 233681.

It is an arithmetic number, because the mean of its divisors is an integer number (8138988).

Almost surely, 2^521632080 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 521632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976678560).

521632080 is an abundant number, since it is smaller than the sum of its proper divisors (1431725040).

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

521632080 is a wasteful number, since it uses less digits than its factorization.

521632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 521632080 is about 22839.2661878616. The cubic root of 521632080 is about 804.9855738577.

The spelling of 521632080 in words is "five hundred twenty-one million, six hundred thirty-two thousand, eighty".