361600 has 48 divisors (see below), whose sum is σ = 901170. Its totient is φ = 143360.

The previous prime is 361577. The next prime is 361637. The reversal of 361600 is 6163.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 207936 = 392^2 + 456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3144 + ... + 3256.

2³⁶¹⁶⁰⁰ 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 361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450585).

361600 is an abundant number, since it is smaller than the sum of its proper divisors (539570).

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

361600 is a wasteful number, since it uses less digits than its factorization.

361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 361600 is about 601.3318551349. The cubic root of 361600 is about 71.2430997729.

Adding to 361600 its reverse (6163), we get a palindrome (367763).

It can be divided in two parts, 361 and 600, that added together give a square (961 = 31²).

The spelling of 361600 in words is "three hundred sixty-one thousand, six hundred".