537888 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 165120.

The previous prime is 537883. The next prime is 537899. The reversal of 537888 is 888735.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 537888.

It is not an unprimeable number, because it can be changed into a prime (537883) by changing a digit.

537888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁵³⁷⁸⁸⁸ 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 537888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

537888 is an abundant number, since it is smaller than the sum of its proper divisors (986208).

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

537888 is a wasteful number, since it uses less digits than its factorization.

537888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 537888 is about 733.4084809981. The cubic root of 537888 is about 81.3262259011.

The spelling of 537888 in words is "five hundred thirty-seven thousand, eight hundred eighty-eight".