83646 has 16 divisors (see below), whose sum is σ = 186000. Its totient is φ = 27864.

The previous prime is 83641. The next prime is 83653. The reversal of 83646 is 64638.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83641) by changing a digit.

83646 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, 721 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (11625).

2⁸³⁶⁴⁶ is an apocalyptic number.

83646 is an abundant number, since it is smaller than the sum of its proper divisors (102354).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93000).

83646 is a wasteful number, since it uses less digits than its factorization.

83646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 83646 is about 289.2161821199. The cubic root of 83646 is about 43.7335829560.

It can be divided in two parts, 83 and 646, that added together give a 6-th power (729 = 3⁶).

The spelling of 83646 in words is "eighty-three thousand, six hundred forty-six".