361558080 has 560 divisors, whose sum is σ = 1471543920. Its totient is φ = 83607552.

The previous prime is 361558069. The next prime is 361558097. The reversal of 361558080 is 80855163.

It can be written as a sum of positive squares in 8 ways, for example, as 254016 + 361304064 = 504^2 + 19008^2 .

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9771822 + ... + 9771858.

It is an arithmetic number, because the mean of its divisors is an integer number (2627757).

Almost surely, 2^361558080 is an apocalyptic number.

361558080 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 361558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735771960).

361558080 is an abundant number, since it is smaller than the sum of its proper divisors (1109985840).

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

361558080 is a wasteful number, since it uses less digits than its factorization.

361558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 361558080 is about 19014.6806441760. The cubic root of 361558080 is about 712.4034661460.

The spelling of 361558080 in words is "three hundred sixty-one million, five hundred fifty-eight thousand, eighty".