537600960 has 336 divisors, whose sum is σ = 2027005344. Its totient is φ = 129982464.

The previous prime is 537600949. The next prime is 537600967. The reversal of 537600960 is 69006735.

It is a happy number.

537600960 is a `hidden beast` number, since 537 + 60 + 0 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537600967) 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, 3107434 + ... + 3107606.

It is an arithmetic number, because the mean of its divisors is an integer number (6032754).

Almost surely, 2^537600960 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 537600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013502672).

537600960 is an abundant number, since it is smaller than the sum of its proper divisors (1489404384).

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

537600960 is a wasteful number, since it uses less digits than its factorization.

537600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 537600960 is about 23186.2234958606. The cubic root of 537600960 is about 813.1175694499.

The spelling of 537600960 in words is "five hundred thirty-seven million, six hundred thousand, nine hundred sixty".