359648680 has 32 divisors (see below), whose sum is σ = 822480840. Its totient is φ = 141500160.

The previous prime is 359648657. The next prime is 359648699. The reversal of 359648680 is 86846953.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 226984356 + 132664324 = 15066^2 + 11518^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71259 + ... + 76138.

Almost surely, 2^359648680 is an apocalyptic number.

It is an amenable number.

359648680 is an abundant number, since it is smaller than the sum of its proper divisors (462832160).

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

359648680 is a wasteful number, since it uses less digits than its factorization.

359648680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147469 (or 147465 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 359648680 is about 18964.4056062931. The cubic root of 359648680 is about 711.1471767371.

It can be divided in two parts, 35964 and 8680, that added together give a palindrome (44644).

The spelling of 359648680 in words is "three hundred fifty-nine million, six hundred forty-eight thousand, six hundred eighty".