361820160 has 312 divisors, whose sum is σ = 1359574944. Its totient is φ = 88473600.

The previous prime is 361820143. The next prime is 361820177. The reversal of 361820160 is 61028163.

It is an interprime number because it is at equal distance from previous prime (361820143) and next prime (361820177).

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396085 + ... + 2396235.

It is an arithmetic number, because the mean of its divisors is an integer number (4357612).

Almost surely, 2^361820160 is an apocalyptic number.

361820160 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 361820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679787472).

361820160 is an abundant number, since it is smaller than the sum of its proper divisors (997754784).

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

361820160 is a wasteful number, since it uses less digits than its factorization.

361820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 361820160 is about 19021.5709130450. The cubic root of 361820160 is about 712.5755561611.

The spelling of 361820160 in words is "three hundred sixty-one million, eight hundred twenty thousand, one hundred sixty".