537590080 has 56 divisors (see below), whose sum is σ = 1282747752. Its totient is φ = 214597632.

The previous prime is 537590069. The next prime is 537590107. The reversal of 537590080 is 80095735.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 482593024 = 7416^2 + 21968^2 .

It is a super-2 number, since 2×537590080² = 578006188228812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188344 + ... + 191176.

Almost surely, 2^537590080 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 537590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641373876).

537590080 is an abundant number, since it is smaller than the sum of its proper divisors (745157672).

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

537590080 is a wasteful number, since it uses less digits than its factorization.

537590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 537590080 is about 23185.9888725929. The cubic root of 537590080 is about 813.1120841057.

The spelling of 537590080 in words is "five hundred thirty-seven million, five hundred ninety thousand, eighty".