63040 has 28 divisors (see below), whose sum is σ = 150876. Its totient is φ = 25088.

The previous prime is 63031. The next prime is 63059. The reversal of 63040 is 4036.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 16384 = 216^2 + 128^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 63040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222 + ... + 418.

2⁶³⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75438).

63040 is an abundant number, since it is smaller than the sum of its proper divisors (87836).

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

63040 is a wasteful number, since it uses less digits than its factorization.

63040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 63040 is about 251.0776772236. The cubic root of 63040 is about 39.7989915824.

Adding to 63040 its reverse (4036), we get a palindrome (67076).

It can be divided in two parts, 630 and 40, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 63040 in words is "sixty-three thousand, forty".