361006020 has 72 divisors (see below), whose sum is σ = 1101476376. Its totient is φ = 95703552.

The previous prime is 361005979. The next prime is 361006057. The reversal of 361006020 is 20600163.

It is a happy number.

361006020 is a `hidden beast` number, since 3 + 61 + 0 + 0 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201185856 + 159820164 = 14184^2 + 12642^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 361005984 and 361006002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25344 + ... + 36936.

It is an arithmetic number, because the mean of its divisors is an integer number (15298283).

Almost surely, 2^361006020 is an apocalyptic number.

361006020 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 361006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550738188).

361006020 is an abundant number, since it is smaller than the sum of its proper divisors (740470356).

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

361006020 is a wasteful number, since it uses less digits than its factorization.

361006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781 (or 11776 counting only the distinct ones).

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

The square root of 361006020 is about 19000.1584203922. The cubic root of 361006020 is about 712.0406938194.

Adding to 361006020 its reverse (20600163), we get a palindrome (381606183).

The spelling of 361006020 in words is "three hundred sixty-one million, six thousand, twenty".