537933120 has 224 divisors, whose sum is σ = 1781982720. Its totient is φ = 137379840.

The previous prime is 537933119. The next prime is 537933163. The reversal of 537933120 is 21339735.

537933120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3109354 + ... + 3109526.

It is an arithmetic number, because the mean of its divisors is an integer number (7955280).

Almost surely, 2^537933120 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 537933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890991360).

537933120 is an abundant number, since it is smaller than the sum of its proper divisors (1244049600).

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

537933120 is a wasteful number, since it uses less digits than its factorization.

537933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 537933120 is about 23193.3852639066. The cubic root of 537933120 is about 813.2849981727.

The spelling of 537933120 in words is "five hundred thirty-seven million, nine hundred thirty-three thousand, one hundred twenty".