361620 has 108 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 80640.

The previous prime is 361577. The next prime is 361637. The reversal of 361620 is 26163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 298116 = 252^2 + 546^2 .

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 361593 and 361602.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361620.

It is an unprimeable number.

361620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 35 ways as a sum of consecutive naturals, for example, 8800 + ... + 8840.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2³⁶¹⁶²⁰ is an apocalyptic number.

361620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

361620 is an abundant number, since it is smaller than the sum of its proper divisors (945504).

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

361620 is a wasteful number, since it uses less digits than its factorization.

361620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 361620 is about 601.3484846576. The cubic root of 361620 is about 71.2444132277.

Adding to 361620 its reverse (26163), we get a palindrome (387783).

The spelling of 361620 in words is "three hundred sixty-one thousand, six hundred twenty".