359760 has 40 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 95872.

The previous prime is 359753. The next prime is 359761. The reversal of 359760 is 67953.

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 (30).

It is a zygodrome in base 4.

It is a congruent number.

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

359760 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, 510 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2³⁵⁹⁷⁶⁰ is an apocalyptic number.

359760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359760 is an abundant number, since it is smaller than the sum of its proper divisors (756240).

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

359760 is a wasteful number, since it uses less digits than its factorization.

359760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 359760 is about 599.7999666556. The cubic root of 359760 is about 71.1220541608.

The spelling of 359760 in words is "three hundred fifty-nine thousand, seven hundred sixty".