63760 has 20 divisors (see below), whose sum is σ = 148428. Its totient is φ = 25472.

The previous prime is 63743. The next prime is 63761. The reversal of 63760 is 6736.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 36864 = 164^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a d-powerful number, because it can be written as 6³ + 3⁴ + 7⁵ + 6⁶ + 0 .

It is a nialpdrome in base 16.

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 63760.

It is not an unprimeable number, because it can be changed into a prime (63761) by changing a digit.

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, 319 + ... + 478.

2⁶³⁷⁶⁰ is an apocalyptic number.

63760 is the 160-th heptagonal number.

It is an amenable number.

63760 is an abundant number, since it is smaller than the sum of its proper divisors (84668).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214).

63760 is a wasteful number, since it uses less digits than its factorization.

63760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 63760 is about 252.5074256334. The cubic root of 63760 is about 39.9499373695.

Adding to 63760 its product of nonzero digits (756), we get a square (64516 = 254²).

The spelling of 63760 in words is "sixty-three thousand, seven hundred sixty".