359766 has 48 divisors (see below), whose sum is σ = 898560. Its totient is φ = 102960.

The previous prime is 359761. The next prime is 359767. The reversal of 359766 is 667953.

It is a happy number.

359766 is a `hidden beast` number, since 3 + 597 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 359766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359761) by changing a digit.

359766 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 23 ways as a sum of consecutive naturals, for example, 4515 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2³⁵⁹⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449280).

359766 is an abundant number, since it is smaller than the sum of its proper divisors (538794).

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

359766 is a wasteful number, since it uses less digits than its factorization.

359766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 359766 is about 599.8049683022. The cubic root of 359766 is about 71.1224495447.

It can be divided in two parts, 3597 and 66, that added together give a palindrome (3663).

The spelling of 359766 in words is "three hundred fifty-nine thousand, seven hundred sixty-six".