537684 has 48 divisors (see below), whose sum is σ = 1481088. Its totient is φ = 148608.

The previous prime is 537679. The next prime is 537703. The reversal of 537684 is 486735.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (20160) is a multiple of the sum of its prime factors (224).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

537684 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 3022 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (30856).

2⁵³⁷⁶⁸⁴ 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 537684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740544).

537684 is an abundant number, since it is smaller than the sum of its proper divisors (943404).

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

537684 is a wasteful number, since it uses less digits than its factorization.

537684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 537684 is about 733.2693911517. The cubic root of 537684 is about 81.3159433095.

It can be divided in two parts, 5376 and 84, that multiplied together give a square (451584 = 672²).

The spelling of 537684 in words is "five hundred thirty-seven thousand, six hundred eighty-four".