10003968 has 120 divisors (see below), whose sum is σ = 31279248. Its totient is φ = 3059712.

The previous prime is 10003957. The next prime is 10003999. The reversal of 10003968 is 86930001.

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 11 ways as a sum of consecutive naturals, for example, 59821 + ... + 59987.

Almost surely, 2^10003968 is an apocalyptic number.

10003968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639624).

10003968 is an abundant number, since it is smaller than the sum of its proper divisors (21275280).

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

10003968 is a wasteful number, since it uses less digits than its factorization.

10003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10003968 is about 3162.9049938308. The cubic root of 10003968 is about 215.4719612244.

Adding to 10003968 its reverse (86930001), we get a palindrome (96933969).

The spelling of 10003968 in words is "ten million, three thousand, nine hundred sixty-eight".