93648 has 20 divisors (see below), whose sum is σ = 242048. Its totient is φ = 31200.

The previous prime is 93637. The next prime is 93683. The reversal of 93648 is 84639.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93648.

It is an unprimeable number.

93648 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 3 ways as a sum of consecutive naturals, for example, 928 + ... + 1023.

2⁹³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

93648 is an abundant number, since it is smaller than the sum of its proper divisors (148400).

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 (121024).

93648 is a wasteful number, since it uses less digits than its factorization.

93648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 93648 is about 306.0196072150. The cubic root of 93648 is about 45.4115336155.

Subtracting from 93648 its reverse (84639), we obtain a palindrome (9009).

It can be divided in two parts, 93 and 648, that added together give a triangular number (741 = T₃₈).

The spelling of 93648 in words is "ninety-three thousand, six hundred forty-eight".