361760 has 96 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 110592.

The previous prime is 361747. The next prime is 361763. The reversal of 361760 is 67163.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361760.

It is not an unprimeable number, because it can be changed into a prime (361763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19031 + ... + 19049.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2³⁶¹⁷⁶⁰ 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 361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

361760 is an abundant number, since it is smaller than the sum of its proper divisors (726880).

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

361760 is a wasteful number, since it uses less digits than its factorization.

361760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 361760 is about 601.4648784426. The cubic root of 361760 is about 71.2536060553.

The spelling of 361760 in words is "three hundred sixty-one thousand, seven hundred sixty".