367248 has 40 divisors (see below), whose sum is σ = 1085248. Its totient is φ = 104832.

The previous prime is 367243. The next prime is 367259. The reversal of 367248 is 842763.

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

It is one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367248.

It is not an unprimeable number, because it can be changed into a prime (367243) by changing a digit.

367248 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, 211 + ... + 882.

367248 is a Friedman number, since it can be written as 7*(3^8*2-6)*4, using all its digits and the basic arithmetic operations.

2³⁶⁷²⁴⁸ is an apocalyptic number.

It is an amenable number.

367248 is an abundant number, since it is smaller than the sum of its proper divisors (718000).

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

367248 is a wasteful number, since it uses less digits than its factorization.

367248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 367248 is about 606.0099009092. The cubic root of 367248 is about 71.6121115972.

The spelling of 367248 in words is "three hundred sixty-seven thousand, two hundred forty-eight".