359880 has 32 divisors (see below), whose sum is σ = 1080000. Its totient is φ = 95936.

The previous prime is 359869. The next prime is 359897. The reversal of 359880 is 88953.

359880 = T₅₂ + T₅₃ + ... + T₁₃₁.

It is a super-2 number, since 2×359880² = 259027228800, which contains 22 as substring.

It is an unprimeable number.

359880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2³⁵⁹⁸⁸⁰ is an apocalyptic number.

359880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359880 is an abundant number, since it is smaller than the sum of its proper divisors (720120).

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

359880 is a wasteful number, since it uses less digits than its factorization.

359880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 359880 is about 599.8999916653. The cubic root of 359880 is about 71.1299610041.

The spelling of 359880 in words is "three hundred fifty-nine thousand, eight hundred eighty".