537815808 has 288 divisors, whose sum is σ = 1766016000. Its totient is φ = 160579584.

The previous prime is 537815779. The next prime is 537815867. The reversal of 537815808 is 808518735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702493 + ... + 2702691.

It is an arithmetic number, because the mean of its divisors is an integer number (6132000).

Almost surely, 2^537815808 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 537815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

537815808 is an abundant number, since it is smaller than the sum of its proper divisors (1228200192).

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

537815808 is a wasteful number, since it uses less digits than its factorization.

537815808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 537815808 is about 23190.8561290867. The cubic root of 537815808 is about 813.2258737063.

The spelling of 537815808 in words is "five hundred thirty-seven million, eight hundred fifteen thousand, eight hundred eight".