368648 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 151872.

The previous prime is 368647. The next prime is 368651. The reversal of 368648 is 846863.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368648.

It is not an unprimeable number, because it can be changed into a prime (368647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1511 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2³⁶⁸⁶⁴⁸ 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 368648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

368648 is an abundant number, since it is smaller than the sum of its proper divisors (452152).

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

368648 is a wasteful number, since it uses less digits than its factorization.

368648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 368648 is about 607.1638987950. The cubic root of 368648 is about 71.7029946223.

The spelling of 368648 in words is "three hundred sixty-eight thousand, six hundred forty-eight".