63948 has 18 divisors (see below), whose sum is σ = 151284. Its totient is φ = 21024.

The previous prime is 63929. The next prime is 63949. The reversal of 63948 is 84936.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (63949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 840 + ... + 912.

2⁶³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

63948 is an abundant number, since it is smaller than the sum of its proper divisors (87336).

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 (75642).

63948 is a wasteful number, since it uses less digits than its factorization.

63948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 78 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 63948 is about 252.8794179051. The cubic root of 63948 is about 39.9891637313.

The spelling of 63948 in words is "sixty-three thousand, nine hundred forty-eight".