361648 has 20 divisors (see below), whose sum is σ = 801040. Its totient is φ = 154944.

The previous prime is 361643. The next prime is 361649. The reversal of 361648 is 846163.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (361643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503 + ... + 1726.

It is an arithmetic number, because the mean of its divisors is an integer number (40052).

2³⁶¹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

361648 is an abundant number, since it is smaller than the sum of its proper divisors (439392).

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

361648 is a wasteful number, since it uses less digits than its factorization.

361648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3238 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 361648 is about 601.3717652168. The cubic root of 361648 is about 71.2462519830.

The spelling of 361648 in words is "three hundred sixty-one thousand, six hundred forty-eight".