361638 has 32 divisors (see below), whose sum is σ = 829920. Its totient is φ = 116640.

The previous prime is 361637. The next prime is 361643. The reversal of 361638 is 836163.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908 + ... + 2088.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2³⁶¹⁶³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

361638 is an abundant number, since it is smaller than the sum of its proper divisors (468282).

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

361638 is a wasteful number, since it uses less digits than its factorization.

361638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 361638 is about 601.3634508349. The cubic root of 361638 is about 71.2455952956.

It can be divided in two parts, 361 and 638, that added together give a palindrome (999).

The spelling of 361638 in words is "three hundred sixty-one thousand, six hundred thirty-eight".