361316160 has 448 divisors, whose sum is σ = 1404518400. Its totient is φ = 87091200.

The previous prime is 361316159. The next prime is 361316161. The reversal of 361316160 is 61613163.

It is a happy number.

361316160 is a `hidden beast` number, since 36 + 13 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361316159) and next prime (361316161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361316161) 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 63 ways as a sum of consecutive naturals, for example, 5088925 + ... + 5088995.

Almost surely, 2^361316160 is an apocalyptic number.

361316160 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 361316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

361316160 is an abundant number, since it is smaller than the sum of its proper divisors (1043202240).

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

361316160 is a wasteful number, since it uses less digits than its factorization.

361316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 361316160 is about 19008.3181791551. The cubic root of 361316160 is about 712.2445399972.

The spelling of 361316160 in words is "three hundred sixty-one million, three hundred sixteen thousand, one hundred sixty".