361582080 has 240 divisors, whose sum is σ = 1221953040. Its totient is φ = 91193344.

The previous prime is 361582079. The next prime is 361582087. The reversal of 361582080 is 80285163.

It is a happy number.

361582080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361582087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4062676 + ... + 4062764.

It is an arithmetic number, because the mean of its divisors is an integer number (5091471).

Almost surely, 2^361582080 is an apocalyptic number.

361582080 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 361582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610976520).

361582080 is an abundant number, since it is smaller than the sum of its proper divisors (860370960).

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

361582080 is an equidigital number, since it uses as much as digits as its factorization.

361582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 361582080 is about 19015.3117250283. The cubic root of 361582080 is about 712.4192287632.

The spelling of 361582080 in words is "three hundred sixty-one million, five hundred eighty-two thousand, eighty".