359976 has 32 divisors (see below), whose sum is σ = 920160. Its totient is φ = 117312.

The previous prime is 359929. The next prime is 359981. The reversal of 359976 is 679953.

359976 is a nontrivial binomial coefficient, being equal to C(849, 2).

It is an unprimeable number.

359976 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, 1131 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (28755).

2³⁵⁹⁹⁷⁶ is an apocalyptic number.

359976 is the 848-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460080).

359976 is an abundant number, since it is smaller than the sum of its proper divisors (560184).

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

359976 is a wasteful number, since it uses less digits than its factorization.

359976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 359976 is about 599.9799996667. The cubic root of 359976 is about 71.1362852132.

It can be divided in two parts, 35 and 9976, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 359976 in words is "three hundred fifty-nine thousand, nine hundred seventy-six".