361667232 has 144 divisors (see below), whose sum is σ = 1067025960. Its totient is φ = 116121600.

The previous prime is 361667213. The next prime is 361667237. The reversal of 361667232 is 232766163.

361667232 is a `hidden beast` number, since 3 + 616 + 6 + 7 + 2 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 283450896 + 78216336 = 16836^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (361667237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286932 + ... + 1287212.

Almost surely, 2^361667232 is an apocalyptic number.

361667232 is a gapful number since it is divisible by the number (32) 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 361667232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533512980).

361667232 is an abundant number, since it is smaller than the sum of its proper divisors (705358728).

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

361667232 is a wasteful number, since it uses less digits than its factorization.

361667232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 361667232 is about 19017.5506309304. The cubic root of 361667232 is about 712.4751489024.

The spelling of 361667232 in words is "three hundred sixty-one million, six hundred sixty-seven thousand, two hundred thirty-two".