537853824 has 128 divisors (see below), whose sum is σ = 1671168000. Its totient is φ = 169827840.

The previous prime is 537853819. The next prime is 537853859. The reversal of 537853824 is 428358735.

537853824 is a `hidden beast` number, since 537 + 85 + 38 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 537853824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61569 + ... + 69759.

It is an arithmetic number, because the mean of its divisors is an integer number (13056000).

Almost surely, 2^537853824 is an apocalyptic number.

537853824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835584000).

537853824 is an abundant number, since it is smaller than the sum of its proper divisors (1133314176).

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

537853824 is a wasteful number, since it uses less digits than its factorization.

537853824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8215 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 537853824 is about 23191.6757479920. The cubic root of 537853824 is about 813.2450344586.

The spelling of 537853824 in words is "five hundred thirty-seven million, eight hundred fifty-three thousand, eight hundred twenty-four".