362960 has 40 divisors (see below), whose sum is σ = 911400. Its totient is φ = 133632.

The previous prime is 362953. The next prime is 362969. The reversal of 362960 is 69263.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 341056 = 148^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362960.

It is not an unprimeable number, because it can be changed into a prime (362969) by changing a digit.

362960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2³⁶²⁹⁶⁰ 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 362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455700).

362960 is an abundant number, since it is smaller than the sum of its proper divisors (548440).

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

362960 is a wasteful number, since it uses less digits than its factorization.

362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 362960 is about 602.4616170346. The cubic root of 362960 is about 71.3323046018.

The spelling of 362960 in words is "three hundred sixty-two thousand, nine hundred sixty".