361131666 has 64 divisors (see below), whose sum is σ = 846336000. Its totient is φ = 102685968.

The previous prime is 361131653. The next prime is 361131677. The reversal of 361131666 is 666131163.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779751 + ... + 780213.

It is an arithmetic number, because the mean of its divisors is an integer number (13224000).

Almost surely, 2^361131666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361131666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423168000).

361131666 is an abundant number, since it is smaller than the sum of its proper divisors (485204334).

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

361131666 is a wasteful number, since it uses less digits than its factorization.

361131666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 361131666 is about 19003.4645788604. The cubic root of 361131666 is about 712.1232914150.

The spelling of 361131666 in words is "three hundred sixty-one million, one hundred thirty-one thousand, six hundred sixty-six".