368896 has 36 divisors (see below), whose sum is σ = 809424. Its totient is φ = 166400.

The previous prime is 368881. The next prime is 368899. The reversal of 368896 is 698863.

368896 = T₇₁ + T₇₂ + ... + T₁₃₆.

Its product of digits (62208) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (368899) 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 3 ways as a sum of consecutive naturals, for example, 2751 + ... + 2881.

It is an arithmetic number, because the mean of its divisors is an integer number (22484).

2³⁶⁸⁸⁹⁶ 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 368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404712).

368896 is an abundant number, since it is smaller than the sum of its proper divisors (440528).

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

368896 is a wasteful number, since it uses less digits than its factorization.

368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 368896 is about 607.3680926753. The cubic root of 368896 is about 71.7190698997.

The spelling of 368896 in words is "three hundred sixty-eight thousand, eight hundred ninety-six".