361168540 has 48 divisors (see below), whose sum is σ = 793235520. Its totient is φ = 137871360.

The previous prime is 361168537. The next prime is 361168541. The reversal of 361168540 is 45861163.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 361168496 and 361168505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361168541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353230 + ... + 354250.

It is an arithmetic number, because the mean of its divisors is an integer number (16525740).

Almost surely, 2^361168540 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 361168540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396617760).

361168540 is an abundant number, since it is smaller than the sum of its proper divisors (432066980).

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

361168540 is a wasteful number, since it uses less digits than its factorization.

361168540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 361168540 is about 19004.4347456061. The cubic root of 361168540 is about 712.1475281344.

The spelling of 361168540 in words is "three hundred sixty-one million, one hundred sixty-eight thousand, five hundred forty".