537075360 has 240 divisors, whose sum is σ = 1962160200. Its totient is φ = 138184704.

The previous prime is 537075353. The next prime is 537075361. The reversal of 537075360 is 63570735.

537075360 is a `hidden beast` number, since 53 + 70 + 7 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 307371024 + 229704336 = 17532^2 + 15156^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (537075361) 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, 375126 + ... + 376554.

Almost surely, 2^537075360 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 537075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981080100).

537075360 is an abundant number, since it is smaller than the sum of its proper divisors (1425084840).

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

537075360 is a wasteful number, since it uses less digits than its factorization.

537075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 537075360 is about 23174.8864074886. The cubic root of 537075360 is about 812.8524943104.

The spelling of 537075360 in words is "five hundred thirty-seven million, seventy-five thousand, three hundred sixty".