361661000 has 64 divisors (see below), whose sum is σ = 867026160. Its totient is φ = 141120000.

The previous prime is 361660997. The next prime is 361661017. The reversal of 361661000 is 166163.

It can be written as a sum of positive squares in 8 ways, for example, as 432964 + 361228036 = 658^2 + 19006^2 .

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 15 ways as a sum of consecutive naturals, for example, 36590 + ... + 45410.

Almost surely, 2^361661000 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 361661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433513080).

361661000 is an abundant number, since it is smaller than the sum of its proper divisors (505365160).

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

361661000 is a wasteful number, since it uses less digits than its factorization.

361661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 361661000 is about 19017.3867815744. The cubic root of 361661000 is about 712.4710565856.

The spelling of 361661000 in words is "three hundred sixty-one million, six hundred sixty-one thousand".