361008 has 60 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 114048.

The previous prime is 361003. The next prime is 361013. The reversal of 361008 is 800163.

It is an interprime number because it is at equal distance from previous prime (361003) and next prime (361013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361008.

It is not an unprimeable number, because it can be changed into a prime (361001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3258 + ... + 3366.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2³⁶¹⁰⁰⁸ 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 361008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531960).

361008 is an abundant number, since it is smaller than the sum of its proper divisors (702912).

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

361008 is a wasteful number, since it uses less digits than its factorization.

361008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 361008 is about 600.8394128218. The cubic root of 361008 is about 71.2041995587.

The spelling of 361008 in words is "three hundred sixty-one thousand, eight".