361248 has 48 divisors (see below), whose sum is σ = 979776. Its totient is φ = 116480.

The previous prime is 361241. The next prime is 361271. The reversal of 361248 is 842163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 361248.

It is not an unprimeable number, because it can be changed into a prime (361241) by changing a digit.

361248 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, 5053 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2³⁶¹²⁴⁸ 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 361248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888).

361248 is an abundant number, since it is smaller than the sum of its proper divisors (618528).

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

361248 is a wasteful number, since it uses less digits than its factorization.

361248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 361248 is about 601.0391002256. The cubic root of 361248 is about 71.2199750377.

The spelling of 361248 in words is "three hundred sixty-one thousand, two hundred forty-eight".