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63968 = 251999
BaseRepresentation
bin1111100111100000
310020202012
433213200
54021333
61212052
7354332
oct174740
9106665
1063968
1144073
1231028
1323168
1419452
1513e48
hexf9e0

63968 has 12 divisors (see below), whose sum is σ = 126000. Its totient is φ = 31968.

The previous prime is 63949. The next prime is 63977. The reversal of 63968 is 86936.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 1999 = 63968 / (6 + 3 + 9 + 6 + 8).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

63968 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 as a sum of consecutive naturals, namely, 968 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

263968 is an apocalyptic number.

It is an amenable number.

63968 is a deficient number, since it is larger than the sum of its proper divisors (62032).

63968 is a wasteful number, since it uses less digits than its factorization.

63968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2001 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 63968 is about 252.9189593526. The cubic root of 63968 is about 39.9933322219.

Adding to 63968 its sum of digits (32), we get a cube (64000 = 403).

Subtracting from 63968 its sum of digits (32), we obtain a palindrome (63936).

It can be divided in two parts, 639 and 68, that added together give a palindrome (707).

The spelling of 63968 in words is "sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 1999 3998 7996 15992 31984 63968