361020 has 48 divisors (see below), whose sum is σ = 1104768. Its totient is φ = 87360.

The previous prime is 361013. The next prime is 361033. The reversal of 361020 is 20163.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 360987 and 361005.

It is a congruent number.

It is an unprimeable number.

361020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (23016).

2³⁶¹⁰²⁰ is an apocalyptic number.

361020 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 361020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552384).

361020 is an abundant number, since it is smaller than the sum of its proper divisors (743748).

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

361020 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 361020 = (610203)₉.

361020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 361020 is about 600.8493987681. The cubic root of 361020 is about 71.2049884987.

Adding to 361020 its reverse (20163), we get a palindrome (381183).

The spelling of 361020 in words is "three hundred sixty-one thousand, twenty".