537526080 has 504 divisors, whose sum is σ = 2324066472. Its totient is φ = 113025024.

The previous prime is 537526079. The next prime is 537526127. The reversal of 537526080 is 80625735.

537526080 is a `hidden beast` number, since 53 + 7 + 526 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 455224896 = 9072^2 + 21336^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834414 + ... + 1834706.

It is an arithmetic number, because the mean of its divisors is an integer number (4611243).

Almost surely, 2^537526080 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 537526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162033236).

537526080 is an abundant number, since it is smaller than the sum of its proper divisors (1786540392).

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

537526080 is a wasteful number, since it uses less digits than its factorization.

537526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 537526080 is about 23184.6086876617. The cubic root of 537526080 is about 813.0798158772.

The spelling of 537526080 in words is "five hundred thirty-seven million, five hundred twenty-six thousand, eighty".