363620 has 12 divisors (see below), whose sum is σ = 763644. Its totient is φ = 145440.

The previous prime is 363619. The next prime is 363659. The reversal of 363620 is 26363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 256036 + 107584 = 506^2 + 328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 18181 = 363620 / (3 + 6 + 3 + 6 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 363592 and 363601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363620.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9071 + ... + 9110.

It is an arithmetic number, because the mean of its divisors is an integer number (63637).

2³⁶³⁶²⁰ is an apocalyptic number.

It is an amenable number.

363620 is an abundant number, since it is smaller than the sum of its proper divisors (400024).

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

363620 is a wasteful number, since it uses less digits than its factorization.

363620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18190 (or 18188 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 363620 is about 603.0091209924. The cubic root of 363620 is about 71.3755148855.

363620 divided by its sum of digits (20) gives a palindrome (18181).

Adding to 363620 its reverse (26363), we get a palindrome (389983).

The spelling of 363620 in words is "three hundred sixty-three thousand, six hundred twenty".