359648640 has 256 divisors, whose sum is σ = 1372593600. Its totient is φ = 88473600.

The previous prime is 359648609. The next prime is 359648647. The reversal of 359648640 is 46846953.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359648647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223840 + ... + 225440.

Almost surely, 2^359648640 is an apocalyptic number.

359648640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686296800).

359648640 is an abundant number, since it is smaller than the sum of its proper divisors (1012944960).

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

359648640 is a wasteful number, since it uses less digits than its factorization.

359648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 359648640 is about 18964.4045516858. The cubic root of 359648640 is about 711.1471503726.

The spelling of 359648640 in words is "three hundred fifty-nine million, six hundred forty-eight thousand, six hundred forty".