298368 has 96 divisors (see below), whose sum is σ = 1007760. Its totient is φ = 82944.

The previous prime is 298349. The next prime is 298369. The reversal of 298368 is 863892.

298368 is a `hidden beast` number, since 298 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime factors (64).

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 298368.

It is not an unprimeable number, because it can be changed into a prime (298369) by changing a digit.

298368 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 11 ways as a sum of consecutive naturals, for example, 8046 + ... + 8082.

298368 is a Friedman number, since it can be written as 9*8^2*(8^3+6), using all its digits and the basic arithmetic operations.

2²⁹⁸³⁶⁸ is an apocalyptic number.

298368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503880).

298368 is an abundant number, since it is smaller than the sum of its proper divisors (709392).

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

298368 is a wasteful number, since it uses less digits than its factorization.

298368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 298368 is about 546.2307204836. The cubic root of 298368 is about 66.8216837108.

It can be divided in two parts, 298 and 368, that added together give a palindrome (666).

The spelling of 298368 in words is "two hundred ninety-eight thousand, three hundred sixty-eight".