63380 has 12 divisors (see below), whose sum is σ = 133140. Its totient is φ = 25344.

The previous prime is 63377. The next prime is 63389. The reversal of 63380 is 8336.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 24964 = 196^2 + 158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3169 = 63380 / (6 + 3 + 3 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1565 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (11095).

2⁶³³⁸⁰ is an apocalyptic number.

It is an amenable number.

63380 is an abundant number, since it is smaller than the sum of its proper divisors (69760).

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 (66570).

63380 is a wasteful number, since it uses less digits than its factorization.

63380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 63380 is about 251.7538480341. The cubic root of 63380 is about 39.8704139732.

The spelling of 63380 in words is "sixty-three thousand, three hundred eighty".