359040 has 128 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 81920.

The previous prime is 359027. The next prime is 359041. The reversal of 359040 is 40953.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 358998 and 359016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359040.

It is not an unprimeable number, because it can be changed into a prime (359041) by changing a digit.

359040 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 15 ways as a sum of consecutive naturals, for example, 21112 + ... + 21128.

2³⁵⁹⁰⁴⁰ is an apocalyptic number.

359040 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 359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960).

359040 is an abundant number, since it is smaller than the sum of its proper divisors (962880).

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

359040 is a wasteful number, since it uses less digits than its factorization.

359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 359040 is about 599.1994659544. The cubic root of 359040 is about 71.0745761399.

Adding to 359040 its reverse (40953), we get a palindrome (399993).

The spelling of 359040 in words is "three hundred fifty-nine thousand, forty".